Least Common Multiple (LCM) of 121 and 126
The least common multiple (LCM) of 121 and 126 is 15246.
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 121 and 126?
First, calculate the GCD of 121 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 126 = 0 remainder 121 |
| 2 | 126 ÷ 121 = 1 remainder 5 |
| 3 | 121 ÷ 5 = 24 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 163 | 24776 |
| 60 and 127 | 7620 |
| 133 and 138 | 18354 |
| 136 and 111 | 15096 |
| 118 and 81 | 9558 |