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Least Common Multiple (LCM) of 136 and 75

The least common multiple (LCM) of 136 and 75 is 10200.

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 136 and 75?

First, calculate the GCD of 136 and 75 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 136 ÷ 75 = 1 remainder 61
2 75 ÷ 61 = 1 remainder 14
3 61 ÷ 14 = 4 remainder 5
4 14 ÷ 5 = 2 remainder 4
5 5 ÷ 4 = 1 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
128 and 1308320
141 and 1507050
11 and 154154
198 and 585742
184 and 15728888

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