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Least Common Multiple (LCM) of 160 and 57

The least common multiple (LCM) of 160 and 57 is 9120.

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 160 and 57?

First, calculate the GCD of 160 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 160 ÷ 57 = 2 remainder 46
2 57 ÷ 46 = 1 remainder 11
3 46 ÷ 11 = 4 remainder 2
4 11 ÷ 2 = 5 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
164 and 14724108
30 and 1890
34 and 1856290
11 and 1611771
150 and 1554650

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