Least Common Multiple (LCM) of 153 and 104
The least common multiple (LCM) of 153 and 104 is 15912.
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 153 and 104?
First, calculate the GCD of 153 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 104 = 1 remainder 49 |
| 2 | 104 ÷ 49 = 2 remainder 6 |
| 3 | 49 ÷ 6 = 8 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 30 | 570 |
| 82 and 33 | 2706 |
| 11 and 113 | 1243 |
| 118 and 168 | 9912 |
| 98 and 60 | 2940 |