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Least Common Multiple (LCM) of 78 and 48

The least common multiple (LCM) of 78 and 48 is 624.

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 78 and 48?

First, calculate the GCD of 78 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 78 ÷ 48 = 1 remainder 30
2 48 ÷ 30 = 1 remainder 18
3 30 ÷ 18 = 1 remainder 12
4 18 ÷ 12 = 1 remainder 6
5 12 ÷ 6 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
153 and 10716371
43 and 2008600
168 and 16928392
67 and 18312261
184 and 13524840

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