Least Common Multiple (LCM) of 147 and 110
The least common multiple (LCM) of 147 and 110 is 16170.
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 147 and 110?
First, calculate the GCD of 147 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 110 = 1 remainder 37 |
| 2 | 110 ÷ 37 = 2 remainder 36 |
| 3 | 37 ÷ 36 = 1 remainder 1 |
| 4 | 36 ÷ 1 = 36 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 120 | 5160 |
| 187 and 162 | 30294 |
| 92 and 42 | 1932 |
| 48 and 38 | 912 |
| 59 and 116 | 6844 |