Least Common Multiple (LCM) of 151 and 68
The least common multiple (LCM) of 151 and 68 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 151 and 68?
First, calculate the GCD of 151 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 68 = 2 remainder 15 |
| 2 | 68 ÷ 15 = 4 remainder 8 |
| 3 | 15 ÷ 8 = 1 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 13 | 1378 |
| 15 and 193 | 2895 |
| 34 and 126 | 2142 |
| 102 and 36 | 612 |
| 86 and 132 | 5676 |