Least Common Multiple (LCM) of 178 and 152
The least common multiple (LCM) of 178 and 152 is 13528.
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 152?
First, calculate the GCD of 178 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 152 = 1 remainder 26 |
| 2 | 152 ÷ 26 = 5 remainder 22 |
| 3 | 26 ÷ 22 = 1 remainder 4 |
| 4 | 22 ÷ 4 = 5 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 119 | 15113 |
| 79 and 82 | 6478 |
| 137 and 173 | 23701 |
| 38 and 86 | 1634 |
| 37 and 132 | 4884 |