Least Common Multiple (LCM) of 123 and 36
The least common multiple (LCM) of 123 and 36 is 1476.
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 36?
First, calculate the GCD of 123 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 36 = 3 remainder 15 |
| 2 | 36 ÷ 15 = 2 remainder 6 |
| 3 | 15 ÷ 6 = 2 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 39 | 7527 |
| 167 and 175 | 29225 |
| 179 and 166 | 29714 |
| 36 and 152 | 1368 |
| 122 and 156 | 9516 |