Least Common Multiple (LCM) of 156 and 48
The least common multiple (LCM) of 156 and 48 is 624.
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 156 and 48?
First, calculate the GCD of 156 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 48 = 3 remainder 12 |
| 2 | 48 ÷ 12 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 176 | 17776 |
| 198 and 191 | 37818 |
| 107 and 88 | 9416 |
| 192 and 45 | 2880 |
| 32 and 36 | 288 |