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Least Common Multiple (LCM) of 153 and 165

The least common multiple (LCM) of 153 and 165 is 8415.

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 153 and 165?

First, calculate the GCD of 153 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 153 ÷ 165 = 0 remainder 153
2 165 ÷ 153 = 1 remainder 12
3 153 ÷ 12 = 12 remainder 9
4 12 ÷ 9 = 1 remainder 3
5 9 ÷ 3 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
166 and 19332038
150 and 619150
129 and 1506450
133 and 17823674
126 and 865418

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