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Least Common Multiple (LCM) of 110 and 146

The least common multiple (LCM) of 110 and 146 is 8030.

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 110 and 146?

First, calculate the GCD of 110 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 110 ÷ 146 = 0 remainder 110
2 146 ÷ 110 = 1 remainder 36
3 110 ÷ 36 = 3 remainder 2
4 36 ÷ 2 = 18 remainder 0

Examples of LCM Calculations

NumbersLCM
159 and 8313197
185 and 499065
107 and 101070
64 and 1081728
111 and 331221

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