HowManyNumbers Logo

Least Common Multiple (LCM) of 173 and 142

The least common multiple (LCM) of 173 and 142 is 24566.

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 173 and 142?

First, calculate the GCD of 173 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 173 ÷ 142 = 1 remainder 31
2 142 ÷ 31 = 4 remainder 18
3 31 ÷ 18 = 1 remainder 13
4 18 ÷ 13 = 1 remainder 5
5 13 ÷ 5 = 2 remainder 3
6 5 ÷ 3 = 1 remainder 2
7 3 ÷ 2 = 1 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
74 and 1646068
129 and 9412126
108 and 1789612
101 and 11311413
189 and 1754725

Try Calculating LCM of Other Numbers







Related Calculators