Least Common Multiple (LCM) of 36 and 143
The least common multiple (LCM) of 36 and 143 is 5148.
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 36 and 143?
First, calculate the GCD of 36 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 143 = 0 remainder 36 |
| 2 | 143 ÷ 36 = 3 remainder 35 |
| 3 | 36 ÷ 35 = 1 remainder 1 |
| 4 | 35 ÷ 1 = 35 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 69 | 8970 |
| 135 and 75 | 675 |
| 157 and 25 | 3925 |
| 68 and 142 | 4828 |
| 112 and 26 | 1456 |