HowManyNumbers Logo

Least Common Multiple (LCM) of 185 and 194

The least common multiple (LCM) of 185 and 194 is 35890.

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 185 and 194?

First, calculate the GCD of 185 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 185 ÷ 194 = 0 remainder 185
2 194 ÷ 185 = 1 remainder 9
3 185 ÷ 9 = 20 remainder 5
4 9 ÷ 5 = 1 remainder 4
5 5 ÷ 4 = 1 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
118 and 15518290
185 and 8615910
18 and 123738
177 and 437611
134 and 362412

Try Calculating LCM of Other Numbers







Related Calculators