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Least Common Multiple (LCM) of 172 and 166

The least common multiple (LCM) of 172 and 166 is 14276.

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 172 and 166?

First, calculate the GCD of 172 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 172 ÷ 166 = 1 remainder 6
2 166 ÷ 6 = 27 remainder 4
3 6 ÷ 4 = 1 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
88 and 353080
98 and 1065194
13 and 1011313
74 and 18913986
45 and 1346030

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