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Least Common Multiple (LCM) of 177 and 153

The least common multiple (LCM) of 177 and 153 is 9027.

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 177 and 153?

First, calculate the GCD of 177 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 177 ÷ 153 = 1 remainder 24
2 153 ÷ 24 = 6 remainder 9
3 24 ÷ 9 = 2 remainder 6
4 9 ÷ 6 = 1 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
15 and 145435
63 and 1961764
57 and 774389
97 and 272619
137 and 13618632

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