Least Common Multiple (LCM) of 142 and 157
The least common multiple (LCM) of 142 and 157 is 22294.
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 157?
First, calculate the GCD of 142 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 157 = 0 remainder 142 |
| 2 | 157 ÷ 142 = 1 remainder 15 |
| 3 | 142 ÷ 15 = 9 remainder 7 |
| 4 | 15 ÷ 7 = 2 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 156 | 1716 |
| 128 and 170 | 10880 |
| 17 and 17 | 17 |
| 59 and 192 | 11328 |
| 128 and 115 | 14720 |