Least Common Multiple (LCM) of 151 and 193
The least common multiple (LCM) of 151 and 193 is 29143.
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 193?
First, calculate the GCD of 151 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 193 = 0 remainder 151 |
| 2 | 193 ÷ 151 = 1 remainder 42 |
| 3 | 151 ÷ 42 = 3 remainder 25 |
| 4 | 42 ÷ 25 = 1 remainder 17 |
| 5 | 25 ÷ 17 = 1 remainder 8 |
| 6 | 17 ÷ 8 = 2 remainder 1 |
| 7 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 142 | 2414 |
| 133 and 72 | 9576 |
| 170 and 56 | 4760 |
| 47 and 92 | 4324 |
| 87 and 100 | 8700 |