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Least Common Multiple (LCM) of 136 and 103

The least common multiple (LCM) of 136 and 103 is 14008.

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 103?

First, calculate the GCD of 136 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 136 ÷ 103 = 1 remainder 33
2 103 ÷ 33 = 3 remainder 4
3 33 ÷ 4 = 8 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
187 and 14527115
78 and 14546
50 and 170850
32 and 34544
52 and 1121456

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