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 10 | 770 |
| 101 and 167 | 16867 |
| 162 and 190 | 15390 |
| 16 and 128 | 128 |
| 28 and 182 | 364 |