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Least Common Multiple (LCM) of 134 and 74

The least common multiple (LCM) of 134 and 74 is 4958.

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 134 and 74?

First, calculate the GCD of 134 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 134 ÷ 74 = 1 remainder 60
2 74 ÷ 60 = 1 remainder 14
3 60 ÷ 14 = 4 remainder 4
4 14 ÷ 4 = 3 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
175 and 6912075
11 and 1521672
120 and 993960
130 and 17611440
39 and 1676513

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