Least Common Multiple (LCM) of 68 and 151
The least common multiple (LCM) of 68 and 151 is 10268.
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 68 and 151?
First, calculate the GCD of 68 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 68 ÷ 151 = 0 remainder 68 |
| 2 | 151 ÷ 68 = 2 remainder 15 |
| 3 | 68 ÷ 15 = 4 remainder 8 |
| 4 | 15 ÷ 8 = 1 remainder 7 |
| 5 | 8 ÷ 7 = 1 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 192 | 12480 |
| 172 and 54 | 4644 |
| 122 and 93 | 11346 |
| 54 and 122 | 3294 |
| 173 and 65 | 11245 |