HowManyNumbers Logo

Least Common Multiple (LCM) of 184 and 195

The least common multiple (LCM) of 184 and 195 is 35880.

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 184 and 195?

First, calculate the GCD of 184 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 184 ÷ 195 = 0 remainder 184
2 195 ÷ 184 = 1 remainder 11
3 184 ÷ 11 = 16 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
196 and 1193332
116 and 1323828
152 and 665016
178 and 9116198
26 and 691794

Try Calculating LCM of Other Numbers







Related Calculators