Least Common Multiple (LCM) of 157 and 142
The least common multiple (LCM) of 157 and 142 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 157 and 142?
First, calculate the GCD of 157 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 142 = 1 remainder 15 |
| 2 | 142 ÷ 15 = 9 remainder 7 |
| 3 | 15 ÷ 7 = 2 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 200 | 20200 |
| 160 and 17 | 2720 |
| 146 and 47 | 6862 |
| 158 and 42 | 3318 |
| 159 and 175 | 27825 |