HowManyNumbers Logo

Least Common Multiple (LCM) of 76 and 189

The least common multiple (LCM) of 76 and 189 is 14364.

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 76 and 189?

First, calculate the GCD of 76 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 76 ÷ 189 = 0 remainder 76
2 189 ÷ 76 = 2 remainder 37
3 76 ÷ 37 = 2 remainder 2
4 37 ÷ 2 = 18 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
99 and 18418216
38 and 973686
122 and 15118422
33 and 27297
148 and 213108

Try Calculating LCM of Other Numbers







Related Calculators