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Least Common Multiple (LCM) of 116 and 110

The least common multiple (LCM) of 116 and 110 is 6380.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 116 and 110?

First, calculate the GCD of 116 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 116 ÷ 110 = 1 remainder 6
2 110 ÷ 6 = 18 remainder 2
3 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
83 and 1048632
124 and 18122444
90 and 776930
101 and 919191
20 and 1621620

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