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Least Common Multiple (LCM) of 159 and 88

The least common multiple (LCM) of 159 and 88 is 13992.

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 88?

First, calculate the GCD of 159 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 159 ÷ 88 = 1 remainder 71
2 88 ÷ 71 = 1 remainder 17
3 71 ÷ 17 = 4 remainder 3
4 17 ÷ 3 = 5 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
152 and 15924168
144 and 9713968
23 and 161161
136 and 253400
10 and 172860

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