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Least Common Multiple (LCM) of 198 and 19

The least common multiple (LCM) of 198 and 19 is 3762.

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 19?

First, calculate the GCD of 198 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 198 ÷ 19 = 10 remainder 8
2 19 ÷ 8 = 2 remainder 3
3 8 ÷ 3 = 2 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
12 and 180180
170 and 13811730
125 and 526500
113 and 657345
94 and 13512690

Try Calculating LCM of Other Numbers







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