Least Common Multiple (LCM) of 58 and 151
The least common multiple (LCM) of 58 and 151 is 8758.
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 151?
First, calculate the GCD of 58 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 151 = 0 remainder 58 |
| 2 | 151 ÷ 58 = 2 remainder 35 |
| 3 | 58 ÷ 35 = 1 remainder 23 |
| 4 | 35 ÷ 23 = 1 remainder 12 |
| 5 | 23 ÷ 12 = 1 remainder 11 |
| 6 | 12 ÷ 11 = 1 remainder 1 |
| 7 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 30 | 990 |
| 100 and 18 | 900 |
| 63 and 74 | 4662 |
| 166 and 11 | 1826 |
| 138 and 92 | 276 |