Least Common Multiple (LCM) of 93 and 157
The least common multiple (LCM) of 93 and 157 is 14601.
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 93 and 157?
First, calculate the GCD of 93 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 157 = 0 remainder 93 |
| 2 | 157 ÷ 93 = 1 remainder 64 |
| 3 | 93 ÷ 64 = 1 remainder 29 |
| 4 | 64 ÷ 29 = 2 remainder 6 |
| 5 | 29 ÷ 6 = 4 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 35 | 840 |
| 131 and 170 | 22270 |
| 192 and 84 | 1344 |
| 194 and 160 | 15520 |
| 175 and 198 | 34650 |