Least Common Multiple (LCM) of 59 and 147
The least common multiple (LCM) of 59 and 147 is 8673.
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 59 and 147?
First, calculate the GCD of 59 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 147 = 0 remainder 59 |
| 2 | 147 ÷ 59 = 2 remainder 29 |
| 3 | 59 ÷ 29 = 2 remainder 1 |
| 4 | 29 ÷ 1 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 91 | 15561 |
| 15 and 196 | 2940 |
| 16 and 84 | 336 |
| 110 and 180 | 1980 |
| 111 and 38 | 4218 |