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 |
|---|---|
| 151 and 200 | 30200 |
| 39 and 82 | 3198 |
| 33 and 112 | 3696 |
| 176 and 165 | 2640 |
| 127 and 138 | 17526 |