Least Common Multiple (LCM) of 93 and 142
The least common multiple (LCM) of 93 and 142 is 13206.
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 93 and 142?
First, calculate the GCD of 93 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 142 = 0 remainder 93 |
| 2 | 142 ÷ 93 = 1 remainder 49 |
| 3 | 93 ÷ 49 = 1 remainder 44 |
| 4 | 49 ÷ 44 = 1 remainder 5 |
| 5 | 44 ÷ 5 = 8 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 58 and 93 | 5394 |
| 157 and 45 | 7065 |
| 21 and 91 | 273 |
| 111 and 196 | 21756 |
| 102 and 84 | 1428 |