Least Common Multiple (LCM) of 143 and 91
The least common multiple (LCM) of 143 and 91 is 1001.
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 143 and 91?
First, calculate the GCD of 143 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 91 = 1 remainder 52 |
| 2 | 91 ÷ 52 = 1 remainder 39 |
| 3 | 52 ÷ 39 = 1 remainder 13 |
| 4 | 39 ÷ 13 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 79 and 112 | 8848 |
| 123 and 49 | 6027 |
| 150 and 25 | 150 |
| 21 and 62 | 1302 |
| 32 and 17 | 544 |