Least Common Multiple (LCM) of 151 and 76
The least common multiple (LCM) of 151 and 76 is 11476.
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 76?
First, calculate the GCD of 151 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 76 = 1 remainder 75 |
| 2 | 76 ÷ 75 = 1 remainder 1 |
| 3 | 75 ÷ 1 = 75 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 171 | 1881 |
| 72 and 131 | 9432 |
| 37 and 144 | 5328 |
| 69 and 24 | 552 |
| 17 and 51 | 51 |