Least Common Multiple (LCM) of 52 and 151
The least common multiple (LCM) of 52 and 151 is 7852.
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 52 and 151?
First, calculate the GCD of 52 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 151 = 0 remainder 52 |
| 2 | 151 ÷ 52 = 2 remainder 47 |
| 3 | 52 ÷ 47 = 1 remainder 5 |
| 4 | 47 ÷ 5 = 9 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 155 | 3255 |
| 75 and 83 | 6225 |
| 48 and 35 | 1680 |
| 185 and 14 | 2590 |
| 152 and 40 | 760 |