Least Common Multiple (LCM) of 153 and 97
The least common multiple (LCM) of 153 and 97 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 153 and 97?
First, calculate the GCD of 153 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 97 = 1 remainder 56 |
| 2 | 97 ÷ 56 = 1 remainder 41 |
| 3 | 56 ÷ 41 = 1 remainder 15 |
| 4 | 41 ÷ 15 = 2 remainder 11 |
| 5 | 15 ÷ 11 = 1 remainder 4 |
| 6 | 11 ÷ 4 = 2 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 162 | 2592 |
| 119 and 72 | 8568 |
| 200 and 77 | 15400 |
| 85 and 61 | 5185 |
| 175 and 33 | 5775 |