HowManyNumbers Logo

Least Common Multiple (LCM) of 101 and 130

The least common multiple (LCM) of 101 and 130 is 13130.

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 130?

First, calculate the GCD of 101 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 101 ÷ 130 = 0 remainder 101
2 130 ÷ 101 = 1 remainder 29
3 101 ÷ 29 = 3 remainder 14
4 29 ÷ 14 = 2 remainder 1
5 14 ÷ 1 = 14 remainder 0

Examples of LCM Calculations

NumbersLCM
110 and 19321230
99 and 77693
37 and 883256
58 and 982842
55 and 66330

Try Calculating LCM of Other Numbers







Related Calculators