Least Common Multiple (LCM) of 70 and 184
The least common multiple (LCM) of 70 and 184 is 6440.
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 70 and 184?
First, calculate the GCD of 70 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 184 = 0 remainder 70 |
| 2 | 184 ÷ 70 = 2 remainder 44 |
| 3 | 70 ÷ 44 = 1 remainder 26 |
| 4 | 44 ÷ 26 = 1 remainder 18 |
| 5 | 26 ÷ 18 = 1 remainder 8 |
| 6 | 18 ÷ 8 = 2 remainder 2 |
| 7 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 131 | 15196 |
| 100 and 48 | 1200 |
| 89 and 130 | 11570 |
| 84 and 127 | 10668 |
| 159 and 22 | 3498 |