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Least Common Multiple (LCM) of 145 and 114

The least common multiple (LCM) of 145 and 114 is 16530.

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 145 and 114?

First, calculate the GCD of 145 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 145 ÷ 114 = 1 remainder 31
2 114 ÷ 31 = 3 remainder 21
3 31 ÷ 21 = 1 remainder 10
4 21 ÷ 10 = 2 remainder 1
5 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
104 and 1507800
123 and 11013530
66 and 381254
121 and 16620086
200 and 545400

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