HowManyNumbers Logo

Least Common Multiple (LCM) of 116 and 137

The least common multiple (LCM) of 116 and 137 is 15892.

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 116 and 137?

First, calculate the GCD of 116 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 116 ÷ 137 = 0 remainder 116
2 137 ÷ 116 = 1 remainder 21
3 116 ÷ 21 = 5 remainder 11
4 21 ÷ 11 = 1 remainder 10
5 11 ÷ 10 = 1 remainder 1
6 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
150 and 13720550
20 and 1973940
24 and 19456
163 and 315053
167 and 16828056

Try Calculating LCM of Other Numbers







Related Calculators