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Least Common Multiple (LCM) of 116 and 147

The least common multiple (LCM) of 116 and 147 is 17052.

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 116 and 147?

First, calculate the GCD of 116 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 116 ÷ 147 = 0 remainder 116
2 147 ÷ 116 = 1 remainder 31
3 116 ÷ 31 = 3 remainder 23
4 31 ÷ 23 = 1 remainder 8
5 23 ÷ 8 = 2 remainder 7
6 8 ÷ 7 = 1 remainder 1
7 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
83 and 504150
34 and 1182006
87 and 1654785
64 and 1585056
178 and 12922962

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