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Least Common Multiple (LCM) of 100 and 117

The least common multiple (LCM) of 100 and 117 is 11700.

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 100 and 117?

First, calculate the GCD of 100 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 100 ÷ 117 = 0 remainder 100
2 117 ÷ 100 = 1 remainder 17
3 100 ÷ 17 = 5 remainder 15
4 17 ÷ 15 = 1 remainder 2
5 15 ÷ 2 = 7 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
124 and 1123472
87 and 481392
186 and 11321018
118 and 738614
58 and 1558990

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