Least Common Multiple (LCM) of 151 and 126
The least common multiple (LCM) of 151 and 126 is 19026.
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 126?
First, calculate the GCD of 151 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 126 = 1 remainder 25 |
| 2 | 126 ÷ 25 = 5 remainder 1 |
| 3 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 79 | 13746 |
| 72 and 36 | 72 |
| 108 and 135 | 540 |
| 25 and 104 | 2600 |
| 111 and 92 | 10212 |