Least Common Multiple (LCM) of 151 and 91
The least common multiple (LCM) of 151 and 91 is 13741.
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 151 and 91?
First, calculate the GCD of 151 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 91 = 1 remainder 60 |
| 2 | 91 ÷ 60 = 1 remainder 31 |
| 3 | 60 ÷ 31 = 1 remainder 29 |
| 4 | 31 ÷ 29 = 1 remainder 2 |
| 5 | 29 ÷ 2 = 14 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 38 | 1862 |
| 14 and 126 | 126 |
| 141 and 88 | 12408 |
| 17 and 48 | 816 |
| 181 and 83 | 15023 |