Least Common Multiple (LCM) of 149 and 97
The least common multiple (LCM) of 149 and 97 is 14453.
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 149 and 97?
First, calculate the GCD of 149 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 97 = 1 remainder 52 |
| 2 | 97 ÷ 52 = 1 remainder 45 |
| 3 | 52 ÷ 45 = 1 remainder 7 |
| 4 | 45 ÷ 7 = 6 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 141 | 7191 |
| 19 and 63 | 1197 |
| 67 and 162 | 10854 |
| 185 and 172 | 31820 |
| 72 and 74 | 2664 |