Least Common Multiple (LCM) of 150 and 153
The least common multiple (LCM) of 150 and 153 is 7650.
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 153?
First, calculate the GCD of 150 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 153 = 0 remainder 150 |
| 2 | 153 ÷ 150 = 1 remainder 3 |
| 3 | 150 ÷ 3 = 50 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 62 | 3100 |
| 199 and 37 | 7363 |
| 166 and 184 | 15272 |
| 179 and 70 | 12530 |
| 107 and 85 | 9095 |