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Least Common Multiple (LCM) of 30 and 198

The least common multiple (LCM) of 30 and 198 is 990.

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 30 and 198?

First, calculate the GCD of 30 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 30 ÷ 198 = 0 remainder 30
2 198 ÷ 30 = 6 remainder 18
3 30 ÷ 18 = 1 remainder 12
4 18 ÷ 12 = 1 remainder 6
5 12 ÷ 6 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
32 and 1622592
29 and 1193451
118 and 17520650
26 and 42546
166 and 335478

Try Calculating LCM of Other Numbers







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