Least Common Multiple (LCM) of 70 and 147
The least common multiple (LCM) of 70 and 147 is 1470.
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 147?
First, calculate the GCD of 70 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 147 = 0 remainder 70 |
| 2 | 147 ÷ 70 = 2 remainder 7 |
| 3 | 70 ÷ 7 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 107 | 13589 |
| 189 and 113 | 21357 |
| 39 and 78 | 78 |
| 31 and 106 | 3286 |
| 80 and 91 | 7280 |