Least Common Multiple (LCM) of 152 and 158
The least common multiple (LCM) of 152 and 158 is 12008.
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 152 and 158?
First, calculate the GCD of 152 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 158 = 0 remainder 152 |
| 2 | 158 ÷ 152 = 1 remainder 6 |
| 3 | 152 ÷ 6 = 25 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 164 | 12628 |
| 84 and 84 | 84 |
| 95 and 30 | 570 |
| 122 and 40 | 2440 |
| 114 and 153 | 5814 |