Least Common Multiple (LCM) of 138 and 153
The least common multiple (LCM) of 138 and 153 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 138 and 153?
First, calculate the GCD of 138 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 153 = 0 remainder 138 |
| 2 | 153 ÷ 138 = 1 remainder 15 |
| 3 | 138 ÷ 15 = 9 remainder 3 |
| 4 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 152 | 5624 |
| 192 and 170 | 16320 |
| 17 and 75 | 1275 |
| 178 and 44 | 3916 |
| 20 and 143 | 2860 |