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Least Common Multiple (LCM) of 157 and 54

The least common multiple (LCM) of 157 and 54 is 8478.

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 157 and 54?

First, calculate the GCD of 157 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 157 ÷ 54 = 2 remainder 49
2 54 ÷ 49 = 1 remainder 5
3 49 ÷ 5 = 9 remainder 4
4 5 ÷ 4 = 1 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
87 and 19416878
170 and 12410540
45 and 17765
21 and 1801260
84 and 1282688

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