Least Common Multiple (LCM) of 97 and 151
The least common multiple (LCM) of 97 and 151 is 14647.
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 97 and 151?
First, calculate the GCD of 97 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 151 = 0 remainder 97 |
| 2 | 151 ÷ 97 = 1 remainder 54 |
| 3 | 97 ÷ 54 = 1 remainder 43 |
| 4 | 54 ÷ 43 = 1 remainder 11 |
| 5 | 43 ÷ 11 = 3 remainder 10 |
| 6 | 11 ÷ 10 = 1 remainder 1 |
| 7 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 100 | 6100 |
| 181 and 95 | 17195 |
| 22 and 154 | 154 |
| 168 and 136 | 2856 |
| 44 and 71 | 3124 |