Least Common Multiple (LCM) of 122 and 57
The least common multiple (LCM) of 122 and 57 is 6954.
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 122 and 57?
First, calculate the GCD of 122 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 57 = 2 remainder 8 |
| 2 | 57 ÷ 8 = 7 remainder 1 |
| 3 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 10 | 570 |
| 53 and 120 | 6360 |
| 103 and 64 | 6592 |
| 187 and 168 | 31416 |
| 141 and 113 | 15933 |