Least Common Multiple (LCM) of 151 and 165
The least common multiple (LCM) of 151 and 165 is 24915.
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 165?
First, calculate the GCD of 151 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 165 = 0 remainder 151 |
| 2 | 165 ÷ 151 = 1 remainder 14 |
| 3 | 151 ÷ 14 = 10 remainder 11 |
| 4 | 14 ÷ 11 = 1 remainder 3 |
| 5 | 11 ÷ 3 = 3 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 57 | 114 |
| 145 and 96 | 13920 |
| 187 and 21 | 3927 |
| 23 and 99 | 2277 |
| 47 and 30 | 1410 |