Least Common Multiple (LCM) of 152 and 138
The least common multiple (LCM) of 152 and 138 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 152 and 138?
First, calculate the GCD of 152 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 138 = 1 remainder 14 |
| 2 | 138 ÷ 14 = 9 remainder 12 |
| 3 | 14 ÷ 12 = 1 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 116 | 6380 |
| 172 and 158 | 13588 |
| 69 and 133 | 9177 |
| 89 and 183 | 16287 |
| 145 and 147 | 21315 |