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Least Common Multiple (LCM) of 63 and 46

The least common multiple (LCM) of 63 and 46 is 2898.

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 63 and 46?

First, calculate the GCD of 63 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 63 ÷ 46 = 1 remainder 17
2 46 ÷ 17 = 2 remainder 12
3 17 ÷ 12 = 1 remainder 5
4 12 ÷ 5 = 2 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
152 and 48912
15 and 81405
10 and 195390
41 and 1496109
180 and 1856660

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