HowManyNumbers Logo

Least Common Multiple (LCM) of 90 and 105

The least common multiple (LCM) of 90 and 105 is 630.

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 90 and 105?

First, calculate the GCD of 90 and 105 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 90 ÷ 105 = 0 remainder 90
2 105 ÷ 90 = 1 remainder 15
3 90 ÷ 15 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
63 and 1459135
177 and 11921063
47 and 1105170
189 and 772079
191 and 19236672

Try Calculating LCM of Other Numbers







Related Calculators