Least Common Multiple (LCM) of 152 and 118
The least common multiple (LCM) of 152 and 118 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 152 and 118?
First, calculate the GCD of 152 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 118 = 1 remainder 34 |
| 2 | 118 ÷ 34 = 3 remainder 16 |
| 3 | 34 ÷ 16 = 2 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 96 | 9312 |
| 64 and 159 | 10176 |
| 160 and 67 | 10720 |
| 105 and 186 | 6510 |
| 102 and 120 | 2040 |