HowManyNumbers Logo

Least Common Multiple (LCM) of 120 and 186

The least common multiple (LCM) of 120 and 186 is 3720.

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 120 and 186?

First, calculate the GCD of 120 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 120 ÷ 186 = 0 remainder 120
2 186 ÷ 120 = 1 remainder 66
3 120 ÷ 66 = 1 remainder 54
4 66 ÷ 54 = 1 remainder 12
5 54 ÷ 12 = 4 remainder 6
6 12 ÷ 6 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
162 and 1779558
151 and 12118271
145 and 15923055
178 and 383382
163 and 8814344

Try Calculating LCM of Other Numbers







Related Calculators