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Least Common Multiple (LCM) of 120 and 112

The least common multiple (LCM) of 120 and 112 is 1680.

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 120 and 112?

First, calculate the GCD of 120 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 120 ÷ 112 = 1 remainder 8
2 112 ÷ 8 = 14 remainder 0

Examples of LCM Calculations

NumbersLCM
106 and 10511130
192 and 1625184
140 and 1454060
150 and 765700
172 and 17815308

Try Calculating LCM of Other Numbers







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