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Least Common Multiple (LCM) of 197 and 87

The least common multiple (LCM) of 197 and 87 is 17139.

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 197 and 87?

First, calculate the GCD of 197 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 197 ÷ 87 = 2 remainder 23
2 87 ÷ 23 = 3 remainder 18
3 23 ÷ 18 = 1 remainder 5
4 18 ÷ 5 = 3 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
64 and 144576
166 and 6310458
163 and 15324939
146 and 11516790
44 and 612684

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