Least Common Multiple (LCM) of 153 and 142
The least common multiple (LCM) of 153 and 142 is 21726.
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 153 and 142?
First, calculate the GCD of 153 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 142 = 1 remainder 11 |
| 2 | 142 ÷ 11 = 12 remainder 10 |
| 3 | 11 ÷ 10 = 1 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 114 | 21774 |
| 131 and 177 | 23187 |
| 166 and 114 | 9462 |
| 16 and 111 | 1776 |
| 16 and 70 | 560 |