Least Common Multiple (LCM) of 158 and 60
The least common multiple (LCM) of 158 and 60 is 4740.
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 158 and 60?
First, calculate the GCD of 158 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 60 = 2 remainder 38 |
| 2 | 60 ÷ 38 = 1 remainder 22 |
| 3 | 38 ÷ 22 = 1 remainder 16 |
| 4 | 22 ÷ 16 = 1 remainder 6 |
| 5 | 16 ÷ 6 = 2 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 63 | 2016 |
| 85 and 126 | 10710 |
| 148 and 49 | 7252 |
| 40 and 10 | 40 |
| 190 and 74 | 7030 |