Least Common Multiple (LCM) of 151 and 152
The least common multiple (LCM) of 151 and 152 is 22952.
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 151 and 152?
First, calculate the GCD of 151 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 152 = 0 remainder 151 |
| 2 | 152 ÷ 151 = 1 remainder 1 |
| 3 | 151 ÷ 1 = 151 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 93 and 45 | 1395 |
| 61 and 11 | 671 |
| 158 and 29 | 4582 |
| 113 and 88 | 9944 |
| 20 and 21 | 420 |