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 |
|---|---|
| 116 and 67 | 7772 |
| 121 and 89 | 10769 |
| 158 and 139 | 21962 |
| 180 and 148 | 6660 |
| 145 and 81 | 11745 |