Least Common Multiple (LCM) of 156 and 40
The least common multiple (LCM) of 156 and 40 is 1560.
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 40?
First, calculate the GCD of 156 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 40 = 3 remainder 36 |
| 2 | 40 ÷ 36 = 1 remainder 4 |
| 3 | 36 ÷ 4 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 172 | 4300 |
| 110 and 128 | 7040 |
| 80 and 164 | 3280 |
| 93 and 157 | 14601 |
| 158 and 119 | 18802 |