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Least Common Multiple (LCM) of 163 and 63

The least common multiple (LCM) of 163 and 63 is 10269.

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 163 and 63?

First, calculate the GCD of 163 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 163 ÷ 63 = 2 remainder 37
2 63 ÷ 37 = 1 remainder 26
3 37 ÷ 26 = 1 remainder 11
4 26 ÷ 11 = 2 remainder 4
5 11 ÷ 4 = 2 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
63 and 601260
35 and 1876545
48 and 156624
196 and 1768624
195 and 332145

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