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Least Common Multiple (LCM) of 116 and 169

The least common multiple (LCM) of 116 and 169 is 19604.

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 169?

First, calculate the GCD of 116 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 116 ÷ 169 = 0 remainder 116
2 169 ÷ 116 = 1 remainder 53
3 116 ÷ 53 = 2 remainder 10
4 53 ÷ 10 = 5 remainder 3
5 10 ÷ 3 = 3 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
108 and 1863348
43 and 1847912
128 and 19324704
133 and 15520615
89 and 11610324

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