Least Common Multiple (LCM) of 156 and 147
The least common multiple (LCM) of 156 and 147 is 7644.
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 147?
First, calculate the GCD of 156 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 147 = 1 remainder 9 |
| 2 | 147 ÷ 9 = 16 remainder 3 |
| 3 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 114 | 20406 |
| 105 and 15 | 105 |
| 41 and 193 | 7913 |
| 152 and 147 | 22344 |
| 68 and 175 | 11900 |