Least Common Multiple (LCM) of 123 and 62
The least common multiple (LCM) of 123 and 62 is 7626.
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 123 and 62?
First, calculate the GCD of 123 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 62 = 1 remainder 61 |
| 2 | 62 ÷ 61 = 1 remainder 1 |
| 3 | 61 ÷ 1 = 61 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 163 | 14670 |
| 67 and 199 | 13333 |
| 29 and 172 | 4988 |
| 23 and 169 | 3887 |
| 189 and 162 | 1134 |