Least Common Multiple (LCM) of 93 and 147
The least common multiple (LCM) of 93 and 147 is 4557.
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 147?
First, calculate the GCD of 93 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 147 = 0 remainder 93 |
| 2 | 147 ÷ 93 = 1 remainder 54 |
| 3 | 93 ÷ 54 = 1 remainder 39 |
| 4 | 54 ÷ 39 = 1 remainder 15 |
| 5 | 39 ÷ 15 = 2 remainder 9 |
| 6 | 15 ÷ 9 = 1 remainder 6 |
| 7 | 9 ÷ 6 = 1 remainder 3 |
| 8 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 66 | 5280 |
| 190 and 53 | 10070 |
| 98 and 36 | 1764 |
| 73 and 73 | 73 |
| 46 and 115 | 230 |