Least Common Multiple (LCM) of 97 and 153
The least common multiple (LCM) of 97 and 153 is 14841.
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 153?
First, calculate the GCD of 97 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 153 = 0 remainder 97 |
| 2 | 153 ÷ 97 = 1 remainder 56 |
| 3 | 97 ÷ 56 = 1 remainder 41 |
| 4 | 56 ÷ 41 = 1 remainder 15 |
| 5 | 41 ÷ 15 = 2 remainder 11 |
| 6 | 15 ÷ 11 = 1 remainder 4 |
| 7 | 11 ÷ 4 = 2 remainder 3 |
| 8 | 4 ÷ 3 = 1 remainder 1 |
| 9 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 123 | 123 |
| 123 and 145 | 17835 |
| 196 and 143 | 28028 |
| 44 and 111 | 4884 |
| 138 and 43 | 5934 |