Least Common Multiple (LCM) of 59 and 52
The least common multiple (LCM) of 59 and 52 is 3068.
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 52?
First, calculate the GCD of 59 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 52 = 1 remainder 7 |
| 2 | 52 ÷ 7 = 7 remainder 3 |
| 3 | 7 ÷ 3 = 2 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 34 | 1802 |
| 95 and 84 | 7980 |
| 159 and 119 | 18921 |
| 109 and 142 | 15478 |
| 129 and 153 | 6579 |