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 |
|---|---|
| 193 and 146 | 28178 |
| 58 and 69 | 4002 |
| 146 and 56 | 4088 |
| 102 and 41 | 4182 |
| 129 and 126 | 5418 |