Least Common Multiple (LCM) of 98 and 152
The least common multiple (LCM) of 98 and 152 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 98 and 152?
First, calculate the GCD of 98 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 152 = 0 remainder 98 |
| 2 | 152 ÷ 98 = 1 remainder 54 |
| 3 | 98 ÷ 54 = 1 remainder 44 |
| 4 | 54 ÷ 44 = 1 remainder 10 |
| 5 | 44 ÷ 10 = 4 remainder 4 |
| 6 | 10 ÷ 4 = 2 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 109 | 11554 |
| 139 and 111 | 15429 |
| 91 and 21 | 273 |
| 97 and 162 | 15714 |
| 109 and 97 | 10573 |