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Least Common Multiple (LCM) of 160 and 189

The least common multiple (LCM) of 160 and 189 is 30240.

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 189?

First, calculate the GCD of 160 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 160 ÷ 189 = 0 remainder 160
2 189 ÷ 160 = 1 remainder 29
3 160 ÷ 29 = 5 remainder 15
4 29 ÷ 15 = 1 remainder 14
5 15 ÷ 14 = 1 remainder 1
6 14 ÷ 1 = 14 remainder 0

Examples of LCM Calculations

NumbersLCM
84 and 33924
30 and 1181770
79 and 221738
181 and 6712127
160 and 19415520

Try Calculating LCM of Other Numbers







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