Least Common Multiple (LCM) of 153 and 58
The least common multiple (LCM) of 153 and 58 is 8874.
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 153 and 58?
First, calculate the GCD of 153 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 58 = 2 remainder 37 |
| 2 | 58 ÷ 37 = 1 remainder 21 |
| 3 | 37 ÷ 21 = 1 remainder 16 |
| 4 | 21 ÷ 16 = 1 remainder 5 |
| 5 | 16 ÷ 5 = 3 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 86 | 15910 |
| 67 and 169 | 11323 |
| 180 and 183 | 10980 |
| 108 and 161 | 17388 |
| 78 and 86 | 3354 |