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Least Common Multiple (LCM) of 133 and 149

The least common multiple (LCM) of 133 and 149 is 19817.

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 133 and 149?

First, calculate the GCD of 133 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 133 ÷ 149 = 0 remainder 133
2 149 ÷ 133 = 1 remainder 16
3 133 ÷ 16 = 8 remainder 5
4 16 ÷ 5 = 3 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
137 and 152055
158 and 927268
19 and 1963724
166 and 13121746
159 and 17027030

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