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Least Common Multiple (LCM) of 116 and 74

The least common multiple (LCM) of 116 and 74 is 4292.

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 74?

First, calculate the GCD of 116 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 116 ÷ 74 = 1 remainder 42
2 74 ÷ 42 = 1 remainder 32
3 42 ÷ 32 = 1 remainder 10
4 32 ÷ 10 = 3 remainder 2
5 10 ÷ 2 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
121 and 597139
179 and 519129
64 and 176704
42 and 23966
23 and 1262898

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