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Least Common Multiple (LCM) of 43 and 106

The least common multiple (LCM) of 43 and 106 is 4558.

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 106?

First, calculate the GCD of 43 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 43 ÷ 106 = 0 remainder 43
2 106 ÷ 43 = 2 remainder 20
3 43 ÷ 20 = 2 remainder 3
4 20 ÷ 3 = 6 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
109 and 555995
20 and 92460
172 and 1767568
85 and 726120
163 and 8013040

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