Least Common Multiple (LCM) of 154 and 39
The least common multiple (LCM) of 154 and 39 is 6006.
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 154 and 39?
First, calculate the GCD of 154 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 39 = 3 remainder 37 |
| 2 | 39 ÷ 37 = 1 remainder 2 |
| 3 | 37 ÷ 2 = 18 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 45 | 3465 |
| 18 and 141 | 846 |
| 39 and 124 | 4836 |
| 185 and 53 | 9805 |
| 13 and 170 | 2210 |