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Least Common Multiple (LCM) of 116 and 24

The least common multiple (LCM) of 116 and 24 is 696.

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 24?

First, calculate the GCD of 116 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 116 ÷ 24 = 4 remainder 20
2 24 ÷ 20 = 1 remainder 4
3 20 ÷ 4 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
115 and 121380
136 and 699384
49 and 18882
169 and 16027040
123 and 141722

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