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Least Common Multiple (LCM) of 76 and 166

The least common multiple (LCM) of 76 and 166 is 6308.

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 76 and 166?

First, calculate the GCD of 76 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 76 ÷ 166 = 0 remainder 76
2 166 ÷ 76 = 2 remainder 14
3 76 ÷ 14 = 5 remainder 6
4 14 ÷ 6 = 2 remainder 2
5 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
137 and 19326441
189 and 15228728
95 and 13913205
136 and 16722712
199 and 7114129

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