Least Common Multiple (LCM) of 151 and 98
The least common multiple (LCM) of 151 and 98 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 151 and 98?
First, calculate the GCD of 151 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 98 = 1 remainder 53 |
| 2 | 98 ÷ 53 = 1 remainder 45 |
| 3 | 53 ÷ 45 = 1 remainder 8 |
| 4 | 45 ÷ 8 = 5 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 34 | 2108 |
| 167 and 16 | 2672 |
| 12 and 122 | 732 |
| 20 and 122 | 1220 |
| 120 and 40 | 120 |