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Least Common Multiple (LCM) of 54 and 50

The least common multiple (LCM) of 54 and 50 is 1350.

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 54 and 50?

First, calculate the GCD of 54 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 54 ÷ 50 = 1 remainder 4
2 50 ÷ 4 = 12 remainder 2
3 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
38 and 1763344
19 and 33627
178 and 17330794
198 and 14814652
154 and 19730338

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