Least Common Multiple (LCM) of 138 and 151
The least common multiple (LCM) of 138 and 151 is 20838.
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 151?
First, calculate the GCD of 138 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 151 = 0 remainder 138 |
| 2 | 151 ÷ 138 = 1 remainder 13 |
| 3 | 138 ÷ 13 = 10 remainder 8 |
| 4 | 13 ÷ 8 = 1 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 179 | 32578 |
| 83 and 189 | 15687 |
| 115 and 52 | 5980 |
| 59 and 114 | 6726 |
| 162 and 132 | 3564 |