Least Common Multiple (LCM) of 157 and 152
The least common multiple (LCM) of 157 and 152 is 23864.
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 152?
First, calculate the GCD of 157 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 152 = 1 remainder 5 |
| 2 | 152 ÷ 5 = 30 remainder 2 |
| 3 | 5 ÷ 2 = 2 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 135 | 1755 |
| 155 and 142 | 22010 |
| 21 and 117 | 819 |
| 105 and 185 | 3885 |
| 48 and 85 | 4080 |