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Least Common Multiple (LCM) of 74 and 109

The least common multiple (LCM) of 74 and 109 is 8066.

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 74 and 109?

First, calculate the GCD of 74 and 109 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 74 ÷ 109 = 0 remainder 74
2 109 ÷ 74 = 1 remainder 35
3 74 ÷ 35 = 2 remainder 4
4 35 ÷ 4 = 8 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
155 and 1504650
174 and 87174
66 and 6666
31 and 1594929
178 and 20017800

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