
Least Common Multiple (LCM) of 178 and 180
The least common multiple (LCM) of 178 and 180 is 16020.
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 180?
First, calculate the GCD of 178 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 178 ÷ 180 = 0 remainder 178 |
2 | 180 ÷ 178 = 1 remainder 2 |
3 | 178 ÷ 2 = 89 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
103 and 98 | 10094 |
161 and 71 | 11431 |
111 and 104 | 11544 |
167 and 52 | 8684 |
162 and 184 | 14904 |