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Least Common Multiple (LCM) of 136 and 106

The least common multiple (LCM) of 136 and 106 is 7208.

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 106?

First, calculate the GCD of 136 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 136 ÷ 106 = 1 remainder 30
2 106 ÷ 30 = 3 remainder 16
3 30 ÷ 16 = 1 remainder 14
4 16 ÷ 14 = 1 remainder 2
5 14 ÷ 2 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
159 and 446996
165 and 7312045
49 and 70490
11 and 1731903
124 and 18723188

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