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Least Common Multiple (LCM) of 42 and 112

The least common multiple (LCM) of 42 and 112 is 336.

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 42 and 112?

First, calculate the GCD of 42 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 42 ÷ 112 = 0 remainder 42
2 112 ÷ 42 = 2 remainder 28
3 42 ÷ 28 = 1 remainder 14
4 28 ÷ 14 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
128 and 12384
55 and 1166380
95 and 17316435
134 and 825494
142 and 19127122

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