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Least Common Multiple (LCM) of 45 and 48

The least common multiple (LCM) of 45 and 48 is 720.

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 48?

First, calculate the GCD of 45 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 45 ÷ 48 = 0 remainder 45
2 48 ÷ 45 = 1 remainder 3
3 45 ÷ 3 = 15 remainder 0

Examples of LCM Calculations

NumbersLCM
184 and 1647544
121 and 394719
122 and 623782
108 and 945076
57 and 1166612

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