Least Common Multiple (LCM) of 138 and 152
The least common multiple (LCM) of 138 and 152 is 10488.
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 138 and 152?
First, calculate the GCD of 138 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 152 = 0 remainder 138 |
| 2 | 152 ÷ 138 = 1 remainder 14 |
| 3 | 138 ÷ 14 = 9 remainder 12 |
| 4 | 14 ÷ 12 = 1 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 60 | 60 |
| 145 and 165 | 4785 |
| 56 and 197 | 11032 |
| 67 and 153 | 10251 |
| 124 and 126 | 7812 |