Least Common Multiple (LCM) of 48 and 156
The least common multiple (LCM) of 48 and 156 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 48 and 156?
First, calculate the GCD of 48 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 156 = 0 remainder 48 |
| 2 | 156 ÷ 48 = 3 remainder 12 |
| 3 | 48 ÷ 12 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 128 | 1152 |
| 156 and 106 | 8268 |
| 125 and 73 | 9125 |
| 33 and 120 | 1320 |
| 26 and 15 | 390 |