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 |
|---|---|
| 194 and 14 | 1358 |
| 53 and 137 | 7261 |
| 102 and 178 | 9078 |
| 195 and 163 | 31785 |
| 18 and 167 | 3006 |