
Least Common Multiple (LCM) of 178 and 24
The least common multiple (LCM) of 178 and 24 is 2136.
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 24?
First, calculate the GCD of 178 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 178 ÷ 24 = 7 remainder 10 |
2 | 24 ÷ 10 = 2 remainder 4 |
3 | 10 ÷ 4 = 2 remainder 2 |
4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
147 and 129 | 6321 |
68 and 17 | 68 |
184 and 73 | 13432 |
139 and 187 | 25993 |
45 and 197 | 8865 |