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Least Common Multiple (LCM) of 102 and 197

The least common multiple (LCM) of 102 and 197 is 20094.

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 102 and 197?

First, calculate the GCD of 102 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 102 ÷ 197 = 0 remainder 102
2 197 ÷ 102 = 1 remainder 95
3 102 ÷ 95 = 1 remainder 7
4 95 ÷ 7 = 13 remainder 4
5 7 ÷ 4 = 1 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
132 and 19412804
156 and 156156
49 and 1065194
140 and 952660
150 and 10115150

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