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Least Common Multiple (LCM) of 57 and 189

The least common multiple (LCM) of 57 and 189 is 3591.

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 57 and 189?

First, calculate the GCD of 57 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 57 ÷ 189 = 0 remainder 57
2 189 ÷ 57 = 3 remainder 18
3 57 ÷ 18 = 3 remainder 3
4 18 ÷ 3 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
156 and 619516
188 and 14613724
61 and 19912139
152 and 111672
145 and 1303770

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