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Least Common Multiple (LCM) of 198 and 40

The least common multiple (LCM) of 198 and 40 is 3960.

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 40?

First, calculate the GCD of 198 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 198 ÷ 40 = 4 remainder 38
2 40 ÷ 38 = 1 remainder 2
3 38 ÷ 2 = 19 remainder 0

Examples of LCM Calculations

NumbersLCM
169 and 14925181
111 and 17919869
78 and 1124368
148 and 17813172
154 and 35770

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