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Least Common Multiple (LCM) of 157 and 167

The least common multiple (LCM) of 157 and 167 is 26219.

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 157 and 167?

First, calculate the GCD of 157 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 157 ÷ 167 = 0 remainder 157
2 167 ÷ 157 = 1 remainder 10
3 157 ÷ 10 = 15 remainder 7
4 10 ÷ 7 = 1 remainder 3
5 7 ÷ 3 = 2 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
105 and 812835
99 and 676633
11 and 1271397
34 and 1041768
128 and 825248

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