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Least Common Multiple (LCM) of 112 and 142

The least common multiple (LCM) of 112 and 142 is 7952.

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 142?

First, calculate the GCD of 112 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 112 ÷ 142 = 0 remainder 112
2 142 ÷ 112 = 1 remainder 30
3 112 ÷ 30 = 3 remainder 22
4 30 ÷ 22 = 1 remainder 8
5 22 ÷ 8 = 2 remainder 6
6 8 ÷ 6 = 1 remainder 2
7 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
119 and 701190
193 and 9718721
138 and 1127728
134 and 181206
30 and 25150

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