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Least Common Multiple (LCM) of 133 and 100

The least common multiple (LCM) of 133 and 100 is 13300.

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 100?

First, calculate the GCD of 133 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 133 ÷ 100 = 1 remainder 33
2 100 ÷ 33 = 3 remainder 1
3 33 ÷ 1 = 33 remainder 0

Examples of LCM Calculations

NumbersLCM
87 and 145435
80 and 594720
39 and 1104290
97 and 757275
135 and 1235535

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