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Least Common Multiple (LCM) of 45 and 44

The least common multiple (LCM) of 45 and 44 is 1980.

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 45 and 44?

First, calculate the GCD of 45 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 45 ÷ 44 = 1 remainder 1
2 44 ÷ 1 = 44 remainder 0

Examples of LCM Calculations

NumbersLCM
92 and 393588
153 and 6710251
200 and 1054200
24 and 116696
27 and 401080

Try Calculating LCM of Other Numbers







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