Least Common Multiple (LCM) of 153 and 39
The least common multiple (LCM) of 153 and 39 is 1989.
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 153 and 39?
First, calculate the GCD of 153 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 39 = 3 remainder 36 |
| 2 | 39 ÷ 36 = 1 remainder 3 |
| 3 | 36 ÷ 3 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 138 | 3450 |
| 131 and 55 | 7205 |
| 116 and 80 | 2320 |
| 145 and 171 | 24795 |
| 32 and 19 | 608 |