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Least Common Multiple (LCM) of 174 and 109

The least common multiple (LCM) of 174 and 109 is 18966.

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 174 and 109?

First, calculate the GCD of 174 and 109 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 174 ÷ 109 = 1 remainder 65
2 109 ÷ 65 = 1 remainder 44
3 65 ÷ 44 = 1 remainder 21
4 44 ÷ 21 = 2 remainder 2
5 21 ÷ 2 = 10 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
170 and 437310
138 and 512346
128 and 12716256
86 and 151290
52 and 1241612

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