Least Common Multiple (LCM) of 118 and 147
The least common multiple (LCM) of 118 and 147 is 17346.
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 118 and 147?
First, calculate the GCD of 118 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 147 = 0 remainder 118 |
| 2 | 147 ÷ 118 = 1 remainder 29 |
| 3 | 118 ÷ 29 = 4 remainder 2 |
| 4 | 29 ÷ 2 = 14 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 98 | 1764 |
| 68 and 153 | 612 |
| 109 and 69 | 7521 |
| 73 and 56 | 4088 |
| 180 and 164 | 7380 |