Least Common Multiple (LCM) of 118 and 153
The least common multiple (LCM) of 118 and 153 is 18054.
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 153?
First, calculate the GCD of 118 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 153 = 0 remainder 118 |
| 2 | 153 ÷ 118 = 1 remainder 35 |
| 3 | 118 ÷ 35 = 3 remainder 13 |
| 4 | 35 ÷ 13 = 2 remainder 9 |
| 5 | 13 ÷ 9 = 1 remainder 4 |
| 6 | 9 ÷ 4 = 2 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 123 | 17466 |
| 197 and 187 | 36839 |
| 108 and 42 | 756 |
| 135 and 122 | 16470 |
| 10 and 77 | 770 |