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Least Common Multiple (LCM) of 15 and 133

The least common multiple (LCM) of 15 and 133 is 1995.

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 15 and 133?

First, calculate the GCD of 15 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 15 ÷ 133 = 0 remainder 15
2 133 ÷ 15 = 8 remainder 13
3 15 ÷ 13 = 1 remainder 2
4 13 ÷ 2 = 6 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
171 and 142394
92 and 184184
155 and 9214260
48 and 291392
18 and 1241116

Try Calculating LCM of Other Numbers







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