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Least Common Multiple (LCM) of 97 and 168

The least common multiple (LCM) of 97 and 168 is 16296.

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 97 and 168?

First, calculate the GCD of 97 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 97 ÷ 168 = 0 remainder 97
2 168 ÷ 97 = 1 remainder 71
3 97 ÷ 71 = 1 remainder 26
4 71 ÷ 26 = 2 remainder 19
5 26 ÷ 19 = 1 remainder 7
6 19 ÷ 7 = 2 remainder 5
7 7 ÷ 5 = 1 remainder 2
8 5 ÷ 2 = 2 remainder 1
9 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
128 and 12516000
161 and 335313
194 and 11811446
146 and 12518250
37 and 531961

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