Least Common Multiple (LCM) of 157 and 32
The least common multiple (LCM) of 157 and 32 is 5024.
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 32?
First, calculate the GCD of 157 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 32 = 4 remainder 29 |
| 2 | 32 ÷ 29 = 1 remainder 3 |
| 3 | 29 ÷ 3 = 9 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 162 | 1620 |
| 98 and 149 | 14602 |
| 174 and 191 | 33234 |
| 91 and 118 | 10738 |
| 192 and 199 | 38208 |