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Least Common Multiple (LCM) of 167 and 88

The least common multiple (LCM) of 167 and 88 is 14696.

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 88?

First, calculate the GCD of 167 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 167 ÷ 88 = 1 remainder 79
2 88 ÷ 79 = 1 remainder 9
3 79 ÷ 9 = 8 remainder 7
4 9 ÷ 7 = 1 remainder 2
5 7 ÷ 2 = 3 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
147 and 10014700
69 and 451035
36 and 701260
111 and 353885
156 and 1726708

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