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Least Common Multiple (LCM) of 127 and 153

The least common multiple (LCM) of 127 and 153 is 19431.

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 127 and 153?

First, calculate the GCD of 127 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 127 ÷ 153 = 0 remainder 127
2 153 ÷ 127 = 1 remainder 26
3 127 ÷ 26 = 4 remainder 23
4 26 ÷ 23 = 1 remainder 3
5 23 ÷ 3 = 7 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
145 and 2005800
197 and 13726989
198 and 1143762
122 and 11914518
178 and 726408

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