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Least Common Multiple (LCM) of 136 and 112

The least common multiple (LCM) of 136 and 112 is 1904.

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 136 and 112?

First, calculate the GCD of 136 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 136 ÷ 112 = 1 remainder 24
2 112 ÷ 24 = 4 remainder 16
3 24 ÷ 16 = 1 remainder 8
4 16 ÷ 8 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
16 and 891424
199 and 8316517
55 and 492695
153 and 12218666
59 and 19711623

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