Least Common Multiple (LCM) of 118 and 152
The least common multiple (LCM) of 118 and 152 is 8968.
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 152?
First, calculate the GCD of 118 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 152 = 0 remainder 118 |
| 2 | 152 ÷ 118 = 1 remainder 34 |
| 3 | 118 ÷ 34 = 3 remainder 16 |
| 4 | 34 ÷ 16 = 2 remainder 2 |
| 5 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 84 | 1596 |
| 21 and 121 | 2541 |
| 75 and 67 | 5025 |
| 123 and 85 | 10455 |
| 93 and 189 | 5859 |