Least Common Multiple (LCM) of 150 and 77
The least common multiple (LCM) of 150 and 77 is 11550.
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 77?
First, calculate the GCD of 150 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 77 = 1 remainder 73 |
| 2 | 77 ÷ 73 = 1 remainder 4 |
| 3 | 73 ÷ 4 = 18 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 150 | 1650 |
| 198 and 90 | 990 |
| 111 and 115 | 12765 |
| 179 and 56 | 10024 |
| 179 and 114 | 20406 |