Least Common Multiple (LCM) of 91 and 28
The least common multiple (LCM) of 91 and 28 is 364.
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 28?
First, calculate the GCD of 91 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 28 = 3 remainder 7 |
| 2 | 28 ÷ 7 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 79 and 188 | 14852 |
| 141 and 139 | 19599 |
| 110 and 17 | 1870 |
| 127 and 99 | 12573 |
| 161 and 195 | 31395 |