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Least Common Multiple (LCM) of 36 and 134

The least common multiple (LCM) of 36 and 134 is 2412.

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 36 and 134?

First, calculate the GCD of 36 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 134 = 0 remainder 36
2 134 ÷ 36 = 3 remainder 26
3 36 ÷ 26 = 1 remainder 10
4 26 ÷ 10 = 2 remainder 6
5 10 ÷ 6 = 1 remainder 4
6 6 ÷ 4 = 1 remainder 2
7 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
76 and 19314668
191 and 15229032
30 and 46690
125 and 18122625
77 and 806160

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