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Least Common Multiple (LCM) of 153 and 45

The least common multiple (LCM) of 153 and 45 is 765.

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 45?

First, calculate the GCD of 153 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 153 ÷ 45 = 3 remainder 18
2 45 ÷ 18 = 2 remainder 9
3 18 ÷ 9 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
81 and 614941
51 and 1638313
21 and 40840
129 and 1385934
179 and 18733473

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