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Least Common Multiple (LCM) of 167 and 151

The least common multiple (LCM) of 167 and 151 is 25217.

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 167 and 151?

First, calculate the GCD of 167 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 167 ÷ 151 = 1 remainder 16
2 151 ÷ 16 = 9 remainder 7
3 16 ÷ 7 = 2 remainder 2
4 7 ÷ 2 = 3 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
33 and 792607
139 and 8912371
32 and 1936176
193 and 6712931
138 and 201380

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