Least Common Multiple (LCM) of 91 and 154
The least common multiple (LCM) of 91 and 154 is 2002.
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 154?
First, calculate the GCD of 91 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 154 = 0 remainder 91 |
| 2 | 154 ÷ 91 = 1 remainder 63 |
| 3 | 91 ÷ 63 = 1 remainder 28 |
| 4 | 63 ÷ 28 = 2 remainder 7 |
| 5 | 28 ÷ 7 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 135 | 9180 |
| 11 and 81 | 891 |
| 99 and 129 | 4257 |
| 141 and 88 | 12408 |
| 98 and 159 | 15582 |