Least Common Multiple (LCM) of 156 and 45
The least common multiple (LCM) of 156 and 45 is 2340.
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 156 and 45?
First, calculate the GCD of 156 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 45 = 3 remainder 21 |
| 2 | 45 ÷ 21 = 2 remainder 3 |
| 3 | 21 ÷ 3 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 39 | 4953 |
| 70 and 199 | 13930 |
| 180 and 117 | 2340 |
| 182 and 48 | 4368 |
| 176 and 23 | 4048 |