Least Common Multiple (LCM) of 157 and 162
The least common multiple (LCM) of 157 and 162 is 25434.
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 162?
First, calculate the GCD of 157 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 162 = 0 remainder 157 |
| 2 | 162 ÷ 157 = 1 remainder 5 |
| 3 | 157 ÷ 5 = 31 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 107 | 10700 |
| 151 and 163 | 24613 |
| 45 and 13 | 585 |
| 182 and 158 | 14378 |
| 37 and 70 | 2590 |