Least Common Multiple (LCM) of 147 and 53
The least common multiple (LCM) of 147 and 53 is 7791.
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 147 and 53?
First, calculate the GCD of 147 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 53 = 2 remainder 41 |
| 2 | 53 ÷ 41 = 1 remainder 12 |
| 3 | 41 ÷ 12 = 3 remainder 5 |
| 4 | 12 ÷ 5 = 2 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 167 | 17201 |
| 135 and 143 | 19305 |
| 77 and 173 | 13321 |
| 140 and 99 | 13860 |
| 161 and 141 | 22701 |