Least Common Multiple (LCM) of 70 and 63
The least common multiple (LCM) of 70 and 63 is 630.
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 63?
First, calculate the GCD of 70 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 63 = 1 remainder 7 |
| 2 | 63 ÷ 7 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 65 | 5265 |
| 120 and 138 | 2760 |
| 153 and 89 | 13617 |
| 200 and 70 | 1400 |
| 58 and 20 | 580 |