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 |
|---|---|
| 122 and 191 | 23302 |
| 92 and 14 | 644 |
| 149 and 114 | 16986 |
| 109 and 17 | 1853 |
| 194 and 33 | 6402 |