Least Common Multiple (LCM) of 148 and 152
The least common multiple (LCM) of 148 and 152 is 5624.
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 152?
First, calculate the GCD of 148 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 152 = 0 remainder 148 |
| 2 | 152 ÷ 148 = 1 remainder 4 |
| 3 | 148 ÷ 4 = 37 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 13 | 1807 |
| 100 and 110 | 1100 |
| 108 and 178 | 9612 |
| 26 and 63 | 1638 |
| 151 and 49 | 7399 |