Least Common Multiple (LCM) of 52 and 153
The least common multiple (LCM) of 52 and 153 is 7956.
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 153?
First, calculate the GCD of 52 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 153 = 0 remainder 52 |
| 2 | 153 ÷ 52 = 2 remainder 49 |
| 3 | 52 ÷ 49 = 1 remainder 3 |
| 4 | 49 ÷ 3 = 16 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 122 | 14762 |
| 87 and 22 | 1914 |
| 21 and 106 | 2226 |
| 176 and 59 | 10384 |
| 13 and 42 | 546 |