Least Common Multiple (LCM) of 157 and 186
The least common multiple (LCM) of 157 and 186 is 29202.
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 186?
First, calculate the GCD of 157 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 186 = 0 remainder 157 |
| 2 | 186 ÷ 157 = 1 remainder 29 |
| 3 | 157 ÷ 29 = 5 remainder 12 |
| 4 | 29 ÷ 12 = 2 remainder 5 |
| 5 | 12 ÷ 5 = 2 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 120 | 840 |
| 69 and 25 | 1725 |
| 87 and 33 | 957 |
| 135 and 171 | 2565 |
| 197 and 191 | 37627 |