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Least Common Multiple (LCM) of 166 and 97

The least common multiple (LCM) of 166 and 97 is 16102.

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 166 and 97?

First, calculate the GCD of 166 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 166 ÷ 97 = 1 remainder 69
2 97 ÷ 69 = 1 remainder 28
3 69 ÷ 28 = 2 remainder 13
4 28 ÷ 13 = 2 remainder 2
5 13 ÷ 2 = 6 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
46 and 16368
118 and 8910502
131 and 14518995
72 and 1402520
115 and 19222080

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