Least Common Multiple (LCM) of 40 and 156
The least common multiple (LCM) of 40 and 156 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 40 and 156?
First, calculate the GCD of 40 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 40 ÷ 156 = 0 remainder 40 |
| 2 | 156 ÷ 40 = 3 remainder 36 |
| 3 | 40 ÷ 36 = 1 remainder 4 |
| 4 | 36 ÷ 4 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 43 | 4214 |
| 100 and 31 | 3100 |
| 69 and 17 | 1173 |
| 188 and 164 | 7708 |
| 190 and 162 | 15390 |