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Least Common Multiple (LCM) of 43 and 79

The least common multiple (LCM) of 43 and 79 is 3397.

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 43 and 79?

First, calculate the GCD of 43 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 43 ÷ 79 = 0 remainder 43
2 79 ÷ 43 = 1 remainder 36
3 43 ÷ 36 = 1 remainder 7
4 36 ÷ 7 = 5 remainder 1
5 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
74 and 1565772
150 and 18413800
175 and 529100
107 and 859095
42 and 1643444

Try Calculating LCM of Other Numbers







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