HowManyNumbers Logo

Least Common Multiple (LCM) of 137 and 176

The least common multiple (LCM) of 137 and 176 is 24112.

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 137 and 176?

First, calculate the GCD of 137 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 137 ÷ 176 = 0 remainder 137
2 176 ÷ 137 = 1 remainder 39
3 137 ÷ 39 = 3 remainder 20
4 39 ÷ 20 = 1 remainder 19
5 20 ÷ 19 = 1 remainder 1
6 19 ÷ 1 = 19 remainder 0

Examples of LCM Calculations

NumbersLCM
154 and 15812166
91 and 13412194
131 and 749694
67 and 1107370
57 and 714047

Try Calculating LCM of Other Numbers







Related Calculators