Least Common Multiple (LCM) of 153 and 196
The least common multiple (LCM) of 153 and 196 is 29988.
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 196?
First, calculate the GCD of 153 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 196 = 0 remainder 153 |
| 2 | 196 ÷ 153 = 1 remainder 43 |
| 3 | 153 ÷ 43 = 3 remainder 24 |
| 4 | 43 ÷ 24 = 1 remainder 19 |
| 5 | 24 ÷ 19 = 1 remainder 5 |
| 6 | 19 ÷ 5 = 3 remainder 4 |
| 7 | 5 ÷ 4 = 1 remainder 1 |
| 8 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 147 | 2793 |
| 25 and 137 | 3425 |
| 98 and 59 | 5782 |
| 60 and 197 | 11820 |
| 23 and 78 | 1794 |