Least Common Multiple (LCM) of 124 and 148
The least common multiple (LCM) of 124 and 148 is 4588.
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 124 and 148?
First, calculate the GCD of 124 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 148 = 0 remainder 124 |
| 2 | 148 ÷ 124 = 1 remainder 24 |
| 3 | 124 ÷ 24 = 5 remainder 4 |
| 4 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 78 | 5928 |
| 51 and 69 | 1173 |
| 87 and 38 | 3306 |
| 164 and 33 | 5412 |
| 110 and 11 | 110 |