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Least Common Multiple (LCM) of 169 and 61

The least common multiple (LCM) of 169 and 61 is 10309.

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 169 and 61?

First, calculate the GCD of 169 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 169 ÷ 61 = 2 remainder 47
2 61 ÷ 47 = 1 remainder 14
3 47 ÷ 14 = 3 remainder 5
4 14 ÷ 5 = 2 remainder 4
5 5 ÷ 4 = 1 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
112 and 11713104
188 and 964512
186 and 161488
113 and 303390
162 and 294698

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