Least Common Multiple (LCM) of 59 and 37
The least common multiple (LCM) of 59 and 37 is 2183.
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 37?
First, calculate the GCD of 59 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 37 = 1 remainder 22 |
| 2 | 37 ÷ 22 = 1 remainder 15 |
| 3 | 22 ÷ 15 = 1 remainder 7 |
| 4 | 15 ÷ 7 = 2 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 170 | 12580 |
| 171 and 144 | 2736 |
| 136 and 76 | 2584 |
| 70 and 91 | 910 |
| 133 and 170 | 22610 |