Least Common Multiple (LCM) of 102 and 152
The least common multiple (LCM) of 102 and 152 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 102 and 152?
First, calculate the GCD of 102 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 152 = 0 remainder 102 |
| 2 | 152 ÷ 102 = 1 remainder 50 |
| 3 | 102 ÷ 50 = 2 remainder 2 |
| 4 | 50 ÷ 2 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 150 | 1050 |
| 144 and 137 | 19728 |
| 44 and 32 | 352 |
| 166 and 42 | 3486 |
| 117 and 45 | 585 |