Least Common Multiple (LCM) of 143 and 77
The least common multiple (LCM) of 143 and 77 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 77?
First, calculate the GCD of 143 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 77 = 1 remainder 66 |
| 2 | 77 ÷ 66 = 1 remainder 11 |
| 3 | 66 ÷ 11 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 75 | 2550 |
| 199 and 109 | 21691 |
| 139 and 139 | 139 |
| 136 and 127 | 17272 |
| 58 and 101 | 5858 |