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Least Common Multiple (LCM) of 61 and 29

The least common multiple (LCM) of 61 and 29 is 1769.

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 61 and 29?

First, calculate the GCD of 61 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 61 ÷ 29 = 2 remainder 3
2 29 ÷ 3 = 9 remainder 2
3 3 ÷ 2 = 1 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
94 and 864042
117 and 1081404
91 and 12111011
187 and 1322244
95 and 211995

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