Least Common Multiple (LCM) of 148 and 76
The least common multiple (LCM) of 148 and 76 is 2812.
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 76?
First, calculate the GCD of 148 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 76 = 1 remainder 72 |
| 2 | 76 ÷ 72 = 1 remainder 4 |
| 3 | 72 ÷ 4 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 58 and 135 | 7830 |
| 76 and 72 | 1368 |
| 171 and 119 | 20349 |
| 79 and 166 | 13114 |
| 103 and 61 | 6283 |