Least Common Multiple (LCM) of 151 and 111
The least common multiple (LCM) of 151 and 111 is 16761.
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 111?
First, calculate the GCD of 151 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 111 = 1 remainder 40 |
| 2 | 111 ÷ 40 = 2 remainder 31 |
| 3 | 40 ÷ 31 = 1 remainder 9 |
| 4 | 31 ÷ 9 = 3 remainder 4 |
| 5 | 9 ÷ 4 = 2 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 110 | 16610 |
| 134 and 13 | 1742 |
| 12 and 140 | 420 |
| 21 and 160 | 3360 |
| 10 and 70 | 70 |