Least Common Multiple (LCM) of 152 and 157
The least common multiple (LCM) of 152 and 157 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 152 and 157?
First, calculate the GCD of 152 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 157 = 0 remainder 152 |
| 2 | 157 ÷ 152 = 1 remainder 5 |
| 3 | 152 ÷ 5 = 30 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 101 | 16867 |
| 89 and 99 | 8811 |
| 55 and 74 | 4070 |
| 192 and 70 | 6720 |
| 126 and 45 | 630 |