HowManyNumbers Logo

Least Common Multiple (LCM) of 190 and 165

The least common multiple (LCM) of 190 and 165 is 6270.

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 190 and 165?

First, calculate the GCD of 190 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 190 ÷ 165 = 1 remainder 25
2 165 ÷ 25 = 6 remainder 15
3 25 ÷ 15 = 1 remainder 10
4 15 ÷ 10 = 1 remainder 5
5 10 ÷ 5 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
133 and 334389
126 and 1171638
59 and 865074
107 and 434601
190 and 19336670

Try Calculating LCM of Other Numbers







Related Calculators