Least Common Multiple (LCM) of 148 and 42
The least common multiple (LCM) of 148 and 42 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 148 and 42?
First, calculate the GCD of 148 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 42 = 3 remainder 22 |
| 2 | 42 ÷ 22 = 1 remainder 20 |
| 3 | 22 ÷ 20 = 1 remainder 2 |
| 4 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 127 | 22225 |
| 152 and 161 | 24472 |
| 157 and 43 | 6751 |
| 115 and 16 | 1840 |
| 65 and 65 | 65 |