Least Common Multiple (LCM) of 137 and 110
The least common multiple (LCM) of 137 and 110 is 15070.
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 110?
First, calculate the GCD of 137 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 110 = 1 remainder 27 |
| 2 | 110 ÷ 27 = 4 remainder 2 |
| 3 | 27 ÷ 2 = 13 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 74 | 12654 |
| 123 and 131 | 16113 |
| 15 and 105 | 105 |
| 34 and 166 | 2822 |
| 136 and 23 | 3128 |