Least Common Multiple (LCM) of 152 and 58
The least common multiple (LCM) of 152 and 58 is 4408.
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 152 and 58?
First, calculate the GCD of 152 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 58 = 2 remainder 36 |
| 2 | 58 ÷ 36 = 1 remainder 22 |
| 3 | 36 ÷ 22 = 1 remainder 14 |
| 4 | 22 ÷ 14 = 1 remainder 8 |
| 5 | 14 ÷ 8 = 1 remainder 6 |
| 6 | 8 ÷ 6 = 1 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 190 | 7410 |
| 105 and 51 | 1785 |
| 130 and 30 | 390 |
| 27 and 54 | 54 |
| 78 and 178 | 6942 |