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Least Common Multiple (LCM) of 149 and 133

The least common multiple (LCM) of 149 and 133 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 149 and 133?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
128 and 232944
34 and 621054
129 and 1054515
145 and 752175
92 and 938556

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