Least Common Multiple (LCM) of 137 and 44
The least common multiple (LCM) of 137 and 44 is 6028.
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 137 and 44?
First, calculate the GCD of 137 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 44 = 3 remainder 5 |
| 2 | 44 ÷ 5 = 8 remainder 4 |
| 3 | 5 ÷ 4 = 1 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 59 | 10620 |
| 52 and 45 | 2340 |
| 122 and 57 | 6954 |
| 13 and 132 | 1716 |
| 128 and 100 | 3200 |