Least Common Multiple (LCM) of 150 and 76
The least common multiple (LCM) of 150 and 76 is 5700.
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 150 and 76?
First, calculate the GCD of 150 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 76 = 1 remainder 74 |
| 2 | 76 ÷ 74 = 1 remainder 2 |
| 3 | 74 ÷ 2 = 37 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 89 | 4539 |
| 114 and 107 | 12198 |
| 82 and 40 | 1640 |
| 157 and 199 | 31243 |
| 138 and 29 | 4002 |