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Least Common Multiple (LCM) of 30 and 145

The least common multiple (LCM) of 30 and 145 is 870.

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 30 and 145?

First, calculate the GCD of 30 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 30 ÷ 145 = 0 remainder 30
2 145 ÷ 30 = 4 remainder 25
3 30 ÷ 25 = 1 remainder 5
4 25 ÷ 5 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
83 and 483984
64 and 1986336
136 and 18525160
105 and 1445040
12 and 1836

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