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Least Common Multiple (LCM) of 39 and 43

The least common multiple (LCM) of 39 and 43 is 1677.

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 43?

First, calculate the GCD of 39 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 39 ÷ 43 = 0 remainder 39
2 43 ÷ 39 = 1 remainder 4
3 39 ÷ 4 = 9 remainder 3
4 4 ÷ 3 = 1 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
196 and 35980
74 and 19114134
160 and 619760
151 and 446644
113 and 19121583

Try Calculating LCM of Other Numbers







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