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Least Common Multiple (LCM) of 144 and 110

The least common multiple (LCM) of 144 and 110 is 7920.

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 144 and 110?

First, calculate the GCD of 144 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 144 ÷ 110 = 1 remainder 34
2 110 ÷ 34 = 3 remainder 8
3 34 ÷ 8 = 4 remainder 2
4 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
54 and 1292322
75 and 19414550
15 and 791185
81 and 54162
102 and 632142

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