Least Common Multiple (LCM) of 123 and 37
The least common multiple (LCM) of 123 and 37 is 4551.
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 37?
First, calculate the GCD of 123 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 37 = 3 remainder 12 |
| 2 | 37 ÷ 12 = 3 remainder 1 |
| 3 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 117 | 22581 |
| 101 and 163 | 16463 |
| 145 and 34 | 4930 |
| 27 and 51 | 459 |
| 141 and 52 | 7332 |