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Least Common Multiple (LCM) of 118 and 25

The least common multiple (LCM) of 118 and 25 is 2950.

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 118 and 25?

First, calculate the GCD of 118 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 118 ÷ 25 = 4 remainder 18
2 25 ÷ 18 = 1 remainder 7
3 18 ÷ 7 = 2 remainder 4
4 7 ÷ 4 = 1 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
109 and 13514715
14 and 24168
199 and 8717313
69 and 352415
62 and 191178

Try Calculating LCM of Other Numbers







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