Least Common Multiple (LCM) of 103 and 70
The least common multiple (LCM) of 103 and 70 is 7210.
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 103 and 70?
First, calculate the GCD of 103 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 70 = 1 remainder 33 |
| 2 | 70 ÷ 33 = 2 remainder 4 |
| 3 | 33 ÷ 4 = 8 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 42 | 2310 |
| 146 and 145 | 21170 |
| 120 and 182 | 10920 |
| 129 and 44 | 5676 |
| 106 and 15 | 1590 |