Least Common Multiple (LCM) of 61 and 59
The least common multiple (LCM) of 61 and 59 is 3599.
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 61 and 59?
First, calculate the GCD of 61 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 59 = 1 remainder 2 |
| 2 | 59 ÷ 2 = 29 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 180 | 6660 |
| 110 and 96 | 5280 |
| 100 and 123 | 12300 |
| 123 and 157 | 19311 |
| 187 and 123 | 23001 |