Least Common Multiple (LCM) of 143 and 101
The least common multiple (LCM) of 143 and 101 is 14443.
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 101?
First, calculate the GCD of 143 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 101 = 1 remainder 42 |
| 2 | 101 ÷ 42 = 2 remainder 17 |
| 3 | 42 ÷ 17 = 2 remainder 8 |
| 4 | 17 ÷ 8 = 2 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 76 | 11932 |
| 161 and 88 | 14168 |
| 102 and 62 | 3162 |
| 182 and 12 | 1092 |
| 123 and 114 | 4674 |