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Least Common Multiple (LCM) of 109 and 66

The least common multiple (LCM) of 109 and 66 is 7194.

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 109 and 66?

First, calculate the GCD of 109 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 109 ÷ 66 = 1 remainder 43
2 66 ÷ 43 = 1 remainder 23
3 43 ÷ 23 = 1 remainder 20
4 23 ÷ 20 = 1 remainder 3
5 20 ÷ 3 = 6 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
80 and 574560
156 and 1321716
187 and 152805
24 and 57456
164 and 1285248

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