Least Common Multiple (LCM) of 157 and 95
The least common multiple (LCM) of 157 and 95 is 14915.
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 95?
First, calculate the GCD of 157 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 95 = 1 remainder 62 |
| 2 | 95 ÷ 62 = 1 remainder 33 |
| 3 | 62 ÷ 33 = 1 remainder 29 |
| 4 | 33 ÷ 29 = 1 remainder 4 |
| 5 | 29 ÷ 4 = 7 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 38 | 2128 |
| 47 and 179 | 8413 |
| 180 and 95 | 3420 |
| 76 and 81 | 6156 |
| 70 and 161 | 1610 |