Least Common Multiple (LCM) of 152 and 102
The least common multiple (LCM) of 152 and 102 is 7752.
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 102?
First, calculate the GCD of 152 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 102 = 1 remainder 50 |
| 2 | 102 ÷ 50 = 2 remainder 2 |
| 3 | 50 ÷ 2 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 145 | 1160 |
| 186 and 130 | 12090 |
| 145 and 150 | 4350 |
| 17 and 188 | 3196 |
| 23 and 115 | 115 |