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 |
|---|---|
| 137 and 120 | 16440 |
| 134 and 152 | 10184 |
| 42 and 53 | 2226 |
| 72 and 123 | 2952 |
| 99 and 75 | 2475 |