Least Common Multiple (LCM) of 150 and 39
The least common multiple (LCM) of 150 and 39 is 1950.
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 39?
First, calculate the GCD of 150 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 39 = 3 remainder 33 |
| 2 | 39 ÷ 33 = 1 remainder 6 |
| 3 | 33 ÷ 6 = 5 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 13 | 130 |
| 151 and 196 | 29596 |
| 98 and 133 | 1862 |
| 166 and 128 | 10624 |
| 30 and 87 | 870 |