Least Common Multiple (LCM) of 151 and 199
The least common multiple (LCM) of 151 and 199 is 30049.
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 199?
First, calculate the GCD of 151 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 199 = 0 remainder 151 |
| 2 | 199 ÷ 151 = 1 remainder 48 |
| 3 | 151 ÷ 48 = 3 remainder 7 |
| 4 | 48 ÷ 7 = 6 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 80 | 1040 |
| 129 and 184 | 23736 |
| 40 and 112 | 560 |
| 85 and 82 | 6970 |
| 85 and 43 | 3655 |