Least Common Multiple (LCM) of 137 and 55
The least common multiple (LCM) of 137 and 55 is 7535.
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 55?
First, calculate the GCD of 137 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 55 = 2 remainder 27 |
| 2 | 55 ÷ 27 = 2 remainder 1 |
| 3 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 12 | 132 |
| 66 and 119 | 7854 |
| 89 and 147 | 13083 |
| 51 and 45 | 765 |
| 23 and 57 | 1311 |