HowManyNumbers Logo

Least Common Multiple (LCM) of 193 and 87

The least common multiple (LCM) of 193 and 87 is 16791.

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 193 and 87?

First, calculate the GCD of 193 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 193 ÷ 87 = 2 remainder 19
2 87 ÷ 19 = 4 remainder 11
3 19 ÷ 11 = 1 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
162 and 12810368
61 and 311891
57 and 1863534
187 and 11521505
179 and 16028640

Try Calculating LCM of Other Numbers







Related Calculators