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Least Common Multiple (LCM) of 198 and 63

The least common multiple (LCM) of 198 and 63 is 1386.

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 198 and 63?

First, calculate the GCD of 198 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 198 ÷ 63 = 3 remainder 9
2 63 ÷ 9 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
170 and 1956630
98 and 14514210
164 and 13321812
51 and 1105610
67 and 1328844

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