Least Common Multiple (LCM) of 98 and 151
The least common multiple (LCM) of 98 and 151 is 14798.
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 151?
First, calculate the GCD of 98 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 151 = 0 remainder 98 |
| 2 | 151 ÷ 98 = 1 remainder 53 |
| 3 | 98 ÷ 53 = 1 remainder 45 |
| 4 | 53 ÷ 45 = 1 remainder 8 |
| 5 | 45 ÷ 8 = 5 remainder 5 |
| 6 | 8 ÷ 5 = 1 remainder 3 |
| 7 | 5 ÷ 3 = 1 remainder 2 |
| 8 | 3 ÷ 2 = 1 remainder 1 |
| 9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 22 | 902 |
| 46 and 111 | 5106 |
| 31 and 13 | 403 |
| 53 and 93 | 4929 |
| 81 and 81 | 81 |