Least Common Multiple (LCM) of 126 and 59
The least common multiple (LCM) of 126 and 59 is 7434.
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 59?
First, calculate the GCD of 126 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 59 = 2 remainder 8 |
| 2 | 59 ÷ 8 = 7 remainder 3 |
| 3 | 8 ÷ 3 = 2 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 102 | 13974 |
| 131 and 182 | 23842 |
| 127 and 143 | 18161 |
| 73 and 171 | 12483 |
| 53 and 165 | 8745 |