Least Common Multiple (LCM) of 70 and 118
The least common multiple (LCM) of 70 and 118 is 4130.
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 70 and 118?
First, calculate the GCD of 70 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 118 = 0 remainder 70 |
| 2 | 118 ÷ 70 = 1 remainder 48 |
| 3 | 70 ÷ 48 = 1 remainder 22 |
| 4 | 48 ÷ 22 = 2 remainder 4 |
| 5 | 22 ÷ 4 = 5 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 108 | 4428 |
| 174 and 10 | 870 |
| 49 and 75 | 3675 |
| 87 and 11 | 957 |
| 115 and 34 | 3910 |