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Least Common Multiple (LCM) of 48 and 163

The least common multiple (LCM) of 48 and 163 is 7824.

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 48 and 163?

First, calculate the GCD of 48 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 48 ÷ 163 = 0 remainder 48
2 163 ÷ 48 = 3 remainder 19
3 48 ÷ 19 = 2 remainder 10
4 19 ÷ 10 = 1 remainder 9
5 10 ÷ 9 = 1 remainder 1
6 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
78 and 13910842
142 and 17812638
176 and 10880
24 and 1874488
179 and 549666

Try Calculating LCM of Other Numbers







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