Least Common Multiple (LCM) of 152 and 153
The least common multiple (LCM) of 152 and 153 is 23256.
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 153?
First, calculate the GCD of 152 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 153 = 0 remainder 152 |
| 2 | 153 ÷ 152 = 1 remainder 1 |
| 3 | 152 ÷ 1 = 152 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 103 | 2369 |
| 90 and 97 | 8730 |
| 19 and 59 | 1121 |
| 142 and 11 | 1562 |
| 111 and 67 | 7437 |