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Least Common Multiple (LCM) of 97 and 167

The least common multiple (LCM) of 97 and 167 is 16199.

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 167?

First, calculate the GCD of 97 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 97 ÷ 167 = 0 remainder 97
2 167 ÷ 97 = 1 remainder 70
3 97 ÷ 70 = 1 remainder 27
4 70 ÷ 27 = 2 remainder 16
5 27 ÷ 16 = 1 remainder 11
6 16 ÷ 11 = 1 remainder 5
7 11 ÷ 5 = 2 remainder 1
8 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
135 and 12817280
52 and 541404
186 and 186186
91 and 1051365
57 and 251425

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