Is this SFP module compatible with Cisco switches, and can it be hot-swapped?

Yes, this SFP module is 100% Cisco GLC-LX-SM-RGD compatible and is hot-swappable in Cisco routers and switches.

What is the maximum distance this SFP module can reach when using single mode fiber?

The maximum distance this SFP module can reach is 10 km (6.2 miles) when using single mode fiber.

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StarTech.com Cisco GLC-LX-SM-RGD Compatible SFP Module - 1000BASE-LX - 1GE Gigabit Ethernet 1GbE Single Mode Fiber SMF Optic Transceiver

100% CISCO GLC-LX-SM-RGD COMPATIBLE: Works with Cisco switches like Firepower, ASR920, IE2000, IE4000, ASR1000 and others
TECHNICAL SPECS: 1000BASE-LX | 1 Gbps | Single Mode (SMF) | LC Connector | 1310nm | Digital Diagnostic Monitoring (DDM) | Distances up to 10km (6.2mi)
TESTED FOR OEM HOST COMPATIBILITY: Hot-swappable in Cisco routers and switches; DDM support reports the transceiver's status to most SNMP network management tools
OUTSTANDING SUPPORT: Backed by StarTech.com for the life of the module itself, not your equipment; our modules won't void your OEM support and with access to our Tech Advisors 5/24
WORKS WITH MSA COMPLIANT SWITCHES: Also works with switch models from Ubiquiti, D-Link, Netgear, Supermicro, TP-Link and more that accept uncoded modules