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Least Common Multiple (LCM) of 59 and 160

The least common multiple (LCM) of 59 and 160 is 9440.

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 59 and 160?

First, calculate the GCD of 59 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 59 ÷ 160 = 0 remainder 59
2 160 ÷ 59 = 2 remainder 42
3 59 ÷ 42 = 1 remainder 17
4 42 ÷ 17 = 2 remainder 8
5 17 ÷ 8 = 2 remainder 1
6 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
35 and 1164060
35 and 147735
34 and 592006
155 and 186930
70 and 1565460

Try Calculating LCM of Other Numbers







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