Least Common Multiple (LCM) of 149 and 157
The least common multiple (LCM) of 149 and 157 is 23393.
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 149 and 157?
First, calculate the GCD of 149 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 157 = 0 remainder 149 |
| 2 | 157 ÷ 149 = 1 remainder 8 |
| 3 | 149 ÷ 8 = 18 remainder 5 |
| 4 | 8 ÷ 5 = 1 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 112 | 2800 |
| 191 and 156 | 29796 |
| 146 and 119 | 17374 |
| 18 and 99 | 198 |
| 130 and 25 | 650 |