Least Common Multiple (LCM) of 158 and 91
The least common multiple (LCM) of 158 and 91 is 14378.
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 158 and 91?
First, calculate the GCD of 158 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 91 = 1 remainder 67 |
| 2 | 91 ÷ 67 = 1 remainder 24 |
| 3 | 67 ÷ 24 = 2 remainder 19 |
| 4 | 24 ÷ 19 = 1 remainder 5 |
| 5 | 19 ÷ 5 = 3 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 19 | 456 |
| 148 and 183 | 27084 |
| 160 and 122 | 9760 |
| 96 and 114 | 1824 |
| 149 and 77 | 11473 |