Least Common Multiple (LCM) of 151 and 110
The least common multiple (LCM) of 151 and 110 is 16610.
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 110?
First, calculate the GCD of 151 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 110 = 1 remainder 41 |
| 2 | 110 ÷ 41 = 2 remainder 28 |
| 3 | 41 ÷ 28 = 1 remainder 13 |
| 4 | 28 ÷ 13 = 2 remainder 2 |
| 5 | 13 ÷ 2 = 6 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 142 | 20022 |
| 90 and 149 | 13410 |
| 54 and 57 | 1026 |
| 20 and 51 | 1020 |
| 134 and 126 | 8442 |