Least Common Multiple (LCM) of 91 and 60
The least common multiple (LCM) of 91 and 60 is 5460.
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 91 and 60?
First, calculate the GCD of 91 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 60 = 1 remainder 31 |
| 2 | 60 ÷ 31 = 1 remainder 29 |
| 3 | 31 ÷ 29 = 1 remainder 2 |
| 4 | 29 ÷ 2 = 14 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 139 | 16680 |
| 166 and 198 | 16434 |
| 132 and 145 | 19140 |
| 104 and 150 | 7800 |
| 75 and 162 | 4050 |