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Least Common Multiple (LCM) of 39 and 109

The least common multiple (LCM) of 39 and 109 is 4251.

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 39 and 109?

First, calculate the GCD of 39 and 109 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 39 ÷ 109 = 0 remainder 39
2 109 ÷ 39 = 2 remainder 31
3 39 ÷ 31 = 1 remainder 8
4 31 ÷ 8 = 3 remainder 7
5 8 ÷ 7 = 1 remainder 1
6 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
114 and 1468322
61 and 885368
108 and 1123024
90 and 1346030
173 and 8614878

Try Calculating LCM of Other Numbers







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