Least Common Multiple (LCM) of 153 and 138
The least common multiple (LCM) of 153 and 138 is 7038.
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 153 and 138?
First, calculate the GCD of 153 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 138 = 1 remainder 15 |
| 2 | 138 ÷ 15 = 9 remainder 3 |
| 3 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 131 | 8253 |
| 101 and 29 | 2929 |
| 108 and 61 | 6588 |
| 161 and 52 | 8372 |
| 155 and 113 | 17515 |