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Least Common Multiple (LCM) of 101 and 149

The least common multiple (LCM) of 101 and 149 is 15049.

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 101 and 149?

First, calculate the GCD of 101 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 101 ÷ 149 = 0 remainder 101
2 149 ÷ 101 = 1 remainder 48
3 101 ÷ 48 = 2 remainder 5
4 48 ÷ 5 = 9 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
139 and 557645
194 and 18217654
120 and 30120
17 and 701190
139 and 19727383

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