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Least Common Multiple (LCM) of 153 and 123

The least common multiple (LCM) of 153 and 123 is 6273.

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 123?

First, calculate the GCD of 153 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 153 ÷ 123 = 1 remainder 30
2 123 ÷ 30 = 4 remainder 3
3 30 ÷ 3 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
72 and 18713464
198 and 782574
168 and 541512
54 and 45270
62 and 341054

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