
Least Common Multiple (LCM) of 184 and 48
The least common multiple (LCM) of 184 and 48 is 1104.
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 184 and 48?
First, calculate the GCD of 184 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 184 ÷ 48 = 3 remainder 40 |
2 | 48 ÷ 40 = 1 remainder 8 |
3 | 40 ÷ 8 = 5 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
59 and 148 | 8732 |
145 and 157 | 22765 |
98 and 139 | 13622 |
62 and 178 | 5518 |
95 and 190 | 190 |