Least Common Multiple (LCM) of 58 and 153
The least common multiple (LCM) of 58 and 153 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 58 and 153?
First, calculate the GCD of 58 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 153 = 0 remainder 58 |
| 2 | 153 ÷ 58 = 2 remainder 37 |
| 3 | 58 ÷ 37 = 1 remainder 21 |
| 4 | 37 ÷ 21 = 1 remainder 16 |
| 5 | 21 ÷ 16 = 1 remainder 5 |
| 6 | 16 ÷ 5 = 3 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 42 | 1050 |
| 99 and 78 | 2574 |
| 104 and 152 | 1976 |
| 180 and 91 | 16380 |
| 69 and 132 | 3036 |