HowManyNumbers Logo

Least Common Multiple (LCM) of 61 and 120

The least common multiple (LCM) of 61 and 120 is 7320.

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 61 and 120?

First, calculate the GCD of 61 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 61 ÷ 120 = 0 remainder 61
2 120 ÷ 61 = 1 remainder 59
3 61 ÷ 59 = 1 remainder 2
4 59 ÷ 2 = 29 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
149 and 192831
170 and 1254250
144 and 7110224
110 and 899790
170 and 13811730

Try Calculating LCM of Other Numbers







Related Calculators