Least Common Multiple (LCM) of 178 and 52
The least common multiple (LCM) of 178 and 52 is 4628.
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 178 and 52?
First, calculate the GCD of 178 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 52 = 3 remainder 22 |
| 2 | 52 ÷ 22 = 2 remainder 8 |
| 3 | 22 ÷ 8 = 2 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 108 | 12204 |
| 55 and 150 | 1650 |
| 174 and 185 | 32190 |
| 11 and 98 | 1078 |
| 53 and 57 | 3021 |