Least Common Multiple (LCM) of 104 and 151
The least common multiple (LCM) of 104 and 151 is 15704.
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 151?
First, calculate the GCD of 104 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 151 = 0 remainder 104 |
| 2 | 151 ÷ 104 = 1 remainder 47 |
| 3 | 104 ÷ 47 = 2 remainder 10 |
| 4 | 47 ÷ 10 = 4 remainder 7 |
| 5 | 10 ÷ 7 = 1 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 49 | 3136 |
| 74 and 150 | 5550 |
| 200 and 36 | 1800 |
| 56 and 121 | 6776 |
| 98 and 115 | 11270 |