Least Common Multiple (LCM) of 91 and 196
The least common multiple (LCM) of 91 and 196 is 2548.
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 196?
First, calculate the GCD of 91 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 196 = 0 remainder 91 |
| 2 | 196 ÷ 91 = 2 remainder 14 |
| 3 | 91 ÷ 14 = 6 remainder 7 |
| 4 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 26 | 3770 |
| 73 and 62 | 4526 |
| 160 and 149 | 23840 |
| 109 and 20 | 2180 |
| 65 and 196 | 12740 |