Least Common Multiple (LCM) of 70 and 77
The least common multiple (LCM) of 70 and 77 is 770.
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 77?
First, calculate the GCD of 70 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 77 = 0 remainder 70 |
| 2 | 77 ÷ 70 = 1 remainder 7 |
| 3 | 70 ÷ 7 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 145 | 17110 |
| 54 and 170 | 4590 |
| 45 and 105 | 315 |
| 123 and 199 | 24477 |
| 35 and 13 | 455 |