Least Common Multiple (LCM) of 153 and 98
The least common multiple (LCM) of 153 and 98 is 14994.
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 98?
First, calculate the GCD of 153 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 98 = 1 remainder 55 |
| 2 | 98 ÷ 55 = 1 remainder 43 |
| 3 | 55 ÷ 43 = 1 remainder 12 |
| 4 | 43 ÷ 12 = 3 remainder 7 |
| 5 | 12 ÷ 7 = 1 remainder 5 |
| 6 | 7 ÷ 5 = 1 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 140 | 12460 |
| 181 and 30 | 5430 |
| 106 and 198 | 10494 |
| 48 and 153 | 2448 |
| 67 and 17 | 1139 |