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Least Common Multiple (LCM) of 88 and 120

The least common multiple (LCM) of 88 and 120 is 1320.

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 88 and 120?

First, calculate the GCD of 88 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 88 ÷ 120 = 0 remainder 88
2 120 ÷ 88 = 1 remainder 32
3 88 ÷ 32 = 2 remainder 24
4 32 ÷ 24 = 1 remainder 8
5 24 ÷ 8 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
18 and 1272286
46 and 1376302
55 and 915005
191 and 12022920
144 and 1171872

Try Calculating LCM of Other Numbers







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