Least Common Multiple (LCM) of 152 and 98
The least common multiple (LCM) of 152 and 98 is 7448.
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 152 and 98?
First, calculate the GCD of 152 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 98 = 1 remainder 54 |
| 2 | 98 ÷ 54 = 1 remainder 44 |
| 3 | 54 ÷ 44 = 1 remainder 10 |
| 4 | 44 ÷ 10 = 4 remainder 4 |
| 5 | 10 ÷ 4 = 2 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 123 | 10824 |
| 175 and 101 | 17675 |
| 175 and 123 | 21525 |
| 77 and 54 | 4158 |
| 82 and 177 | 14514 |