Least Common Multiple (LCM) of 42 and 148
The least common multiple (LCM) of 42 and 148 is 3108.
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 42 and 148?
First, calculate the GCD of 42 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 42 ÷ 148 = 0 remainder 42 |
| 2 | 148 ÷ 42 = 3 remainder 22 |
| 3 | 42 ÷ 22 = 1 remainder 20 |
| 4 | 22 ÷ 20 = 1 remainder 2 |
| 5 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 185 | 13505 |
| 142 and 200 | 14200 |
| 13 and 129 | 1677 |
| 97 and 112 | 10864 |
| 109 and 99 | 10791 |