Least Common Multiple (LCM) of 151 and 99
The least common multiple (LCM) of 151 and 99 is 14949.
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 99?
First, calculate the GCD of 151 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 99 = 1 remainder 52 |
| 2 | 99 ÷ 52 = 1 remainder 47 |
| 3 | 52 ÷ 47 = 1 remainder 5 |
| 4 | 47 ÷ 5 = 9 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 133 | 3724 |
| 143 and 131 | 18733 |
| 28 and 34 | 476 |
| 41 and 98 | 4018 |
| 174 and 106 | 9222 |