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Least Common Multiple (LCM) of 171 and 151

The least common multiple (LCM) of 171 and 151 is 25821.

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 171 and 151?

First, calculate the GCD of 171 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 171 ÷ 151 = 1 remainder 20
2 151 ÷ 20 = 7 remainder 11
3 20 ÷ 11 = 1 remainder 9
4 11 ÷ 9 = 1 remainder 2
5 9 ÷ 2 = 4 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
38 and 672546
175 and 376475
73 and 19013870
128 and 638064
97 and 656305

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