Least Common Multiple (LCM) of 102 and 70
The least common multiple (LCM) of 102 and 70 is 3570.
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 70?
First, calculate the GCD of 102 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 70 = 1 remainder 32 |
| 2 | 70 ÷ 32 = 2 remainder 6 |
| 3 | 32 ÷ 6 = 5 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 136 | 1224 |
| 118 and 113 | 13334 |
| 175 and 66 | 11550 |
| 131 and 138 | 18078 |
| 121 and 103 | 12463 |