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Least Common Multiple (LCM) of 159 and 167

The least common multiple (LCM) of 159 and 167 is 26553.

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 159 and 167?

First, calculate the GCD of 159 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 159 ÷ 167 = 0 remainder 159
2 167 ÷ 159 = 1 remainder 8
3 159 ÷ 8 = 19 remainder 7
4 8 ÷ 7 = 1 remainder 1
5 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
48 and 56336
81 and 15412474
40 and 1917640
69 and 221518
134 and 18212194

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