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 |
|---|---|
| 150 and 91 | 13650 |
| 160 and 136 | 2720 |
| 188 and 23 | 4324 |
| 129 and 129 | 129 |
| 186 and 58 | 5394 |