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Least Common Multiple (LCM) of 112 and 138

The least common multiple (LCM) of 112 and 138 is 7728.

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 112 and 138?

First, calculate the GCD of 112 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 112 ÷ 138 = 0 remainder 112
2 138 ÷ 112 = 1 remainder 26
3 112 ÷ 26 = 4 remainder 8
4 26 ÷ 8 = 3 remainder 2
5 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
121 and 12415004
131 and 10413624
12 and 54108
199 and 5510945
121 and 13516335

Try Calculating LCM of Other Numbers







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