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Least Common Multiple (LCM) of 80 and 50

The least common multiple (LCM) of 80 and 50 is 400.

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 80 and 50?

First, calculate the GCD of 80 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 80 ÷ 50 = 1 remainder 30
2 50 ÷ 30 = 1 remainder 20
3 30 ÷ 20 = 1 remainder 10
4 20 ÷ 10 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
109 and 19220928
178 and 968544
62 and 922852
152 and 19529640
124 and 1106820

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