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Least Common Multiple (LCM) of 30 and 101

The least common multiple (LCM) of 30 and 101 is 3030.

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 101?

First, calculate the GCD of 30 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 30 ÷ 101 = 0 remainder 30
2 101 ÷ 30 = 3 remainder 11
3 30 ÷ 11 = 2 remainder 8
4 11 ÷ 8 = 1 remainder 3
5 8 ÷ 3 = 2 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
140 and 1846440
200 and 683400
126 and 11514490
84 and 105420
87 and 722088

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