HowManyNumbers Logo

Least Common Multiple (LCM) of 142 and 23

The least common multiple (LCM) of 142 and 23 is 3266.

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 142 and 23?

First, calculate the GCD of 142 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 142 ÷ 23 = 6 remainder 4
2 23 ÷ 4 = 5 remainder 3
3 4 ÷ 3 = 1 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
110 and 1065830
101 and 151515
191 and 8115471
103 and 18018540
200 and 17417400

Try Calculating LCM of Other Numbers







Related Calculators