Least Common Multiple (LCM) of 39 and 153
The least common multiple (LCM) of 39 and 153 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 39 and 153?
First, calculate the GCD of 39 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 153 = 0 remainder 39 |
| 2 | 153 ÷ 39 = 3 remainder 36 |
| 3 | 39 ÷ 36 = 1 remainder 3 |
| 4 | 36 ÷ 3 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 17 | 153 |
| 191 and 94 | 17954 |
| 70 and 185 | 2590 |
| 176 and 31 | 5456 |
| 119 and 109 | 12971 |