Least Common Multiple (LCM) of 60 and 59
The least common multiple (LCM) of 60 and 59 is 3540.
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 60 and 59?
First, calculate the GCD of 60 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 60 ÷ 59 = 1 remainder 1 |
| 2 | 59 ÷ 1 = 59 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 67 | 10854 |
| 14 and 149 | 2086 |
| 167 and 46 | 7682 |
| 137 and 144 | 19728 |
| 199 and 31 | 6169 |