Least Common Multiple (LCM) of 126 and 151
The least common multiple (LCM) of 126 and 151 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 126 and 151?
First, calculate the GCD of 126 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 151 = 0 remainder 126 |
| 2 | 151 ÷ 126 = 1 remainder 25 |
| 3 | 126 ÷ 25 = 5 remainder 1 |
| 4 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 130 | 2730 |
| 102 and 22 | 1122 |
| 181 and 129 | 23349 |
| 152 and 53 | 8056 |
| 189 and 43 | 8127 |