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Least Common Multiple (LCM) of 43 and 65

The least common multiple (LCM) of 43 and 65 is 2795.

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 65?

First, calculate the GCD of 43 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 43 ÷ 65 = 0 remainder 43
2 65 ÷ 43 = 1 remainder 22
3 43 ÷ 22 = 1 remainder 21
4 22 ÷ 21 = 1 remainder 1
5 21 ÷ 1 = 21 remainder 0

Examples of LCM Calculations

NumbersLCM
89 and 20017800
70 and 17111970
70 and 90630
126 and 1958190
19 and 1292451

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