Least Common Multiple (LCM) of 178 and 76
The least common multiple (LCM) of 178 and 76 is 6764.
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 76?
First, calculate the GCD of 178 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 76 = 2 remainder 26 |
| 2 | 76 ÷ 26 = 2 remainder 24 |
| 3 | 26 ÷ 24 = 1 remainder 2 |
| 4 | 24 ÷ 2 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 106 | 9540 |
| 76 and 62 | 2356 |
| 25 and 114 | 2850 |
| 199 and 60 | 11940 |
| 119 and 44 | 5236 |