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Least Common Multiple (LCM) of 50 and 88

The least common multiple (LCM) of 50 and 88 is 2200.

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 50 and 88?

First, calculate the GCD of 50 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 50 ÷ 88 = 0 remainder 50
2 88 ÷ 50 = 1 remainder 38
3 50 ÷ 38 = 1 remainder 12
4 38 ÷ 12 = 3 remainder 2
5 12 ÷ 2 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
112 and 1307280
180 and 9717460
123 and 1807380
70 and 1501050
132 and 1725676

Try Calculating LCM of Other Numbers







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