HowManyNumbers Logo

Least Common Multiple (LCM) of 185 and 48

The least common multiple (LCM) of 185 and 48 is 8880.

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 48?

First, calculate the GCD of 185 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 185 ÷ 48 = 3 remainder 41
2 48 ÷ 41 = 1 remainder 7
3 41 ÷ 7 = 5 remainder 6
4 7 ÷ 6 = 1 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
72 and 1723096
106 and 252650
193 and 7213896
84 and 30420
178 and 13011570

Try Calculating LCM of Other Numbers







Related Calculators