Least Common Multiple (LCM) of 104 and 152
The least common multiple (LCM) of 104 and 152 is 1976.
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 104 and 152?
First, calculate the GCD of 104 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 152 = 0 remainder 104 |
| 2 | 152 ÷ 104 = 1 remainder 48 |
| 3 | 104 ÷ 48 = 2 remainder 8 |
| 4 | 48 ÷ 8 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 120 | 4440 |
| 125 and 134 | 16750 |
| 170 and 113 | 19210 |
| 21 and 147 | 147 |
| 114 and 18 | 342 |