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Least Common Multiple (LCM) of 174 and 129

The least common multiple (LCM) of 174 and 129 is 7482.

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 129?

First, calculate the GCD of 174 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 174 ÷ 129 = 1 remainder 45
2 129 ÷ 45 = 2 remainder 39
3 45 ÷ 39 = 1 remainder 6
4 39 ÷ 6 = 6 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
164 and 1526232
109 and 11812862
70 and 321120
49 and 1778673
112 and 1163248

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