Least Common Multiple (LCM) of 126 and 154
The least common multiple (LCM) of 126 and 154 is 1386.
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 154?
First, calculate the GCD of 126 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 154 = 0 remainder 126 |
| 2 | 154 ÷ 126 = 1 remainder 28 |
| 3 | 126 ÷ 28 = 4 remainder 14 |
| 4 | 28 ÷ 14 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 162 | 5184 |
| 152 and 115 | 17480 |
| 199 and 98 | 19502 |
| 186 and 114 | 3534 |
| 154 and 154 | 154 |