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Least Common Multiple (LCM) of 112 and 64

The least common multiple (LCM) of 112 and 64 is 448.

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 64?

First, calculate the GCD of 112 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 112 ÷ 64 = 1 remainder 48
2 64 ÷ 48 = 1 remainder 16
3 48 ÷ 16 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
24 and 30120
79 and 433397
152 and 1763344
153 and 101530
103 and 16116583

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