Least Common Multiple (LCM) of 150 and 73
The least common multiple (LCM) of 150 and 73 is 10950.
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 73?
First, calculate the GCD of 150 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 73 = 2 remainder 4 |
| 2 | 73 ÷ 4 = 18 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 23 | 3956 |
| 41 and 160 | 6560 |
| 195 and 127 | 24765 |
| 188 and 77 | 14476 |
| 140 and 167 | 23380 |