Least Common Multiple (LCM) of 121 and 70
The least common multiple (LCM) of 121 and 70 is 8470.
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 121 and 70?
First, calculate the GCD of 121 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 70 = 1 remainder 51 |
| 2 | 70 ÷ 51 = 1 remainder 19 |
| 3 | 51 ÷ 19 = 2 remainder 13 |
| 4 | 19 ÷ 13 = 1 remainder 6 |
| 5 | 13 ÷ 6 = 2 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 197 | 26595 |
| 20 and 22 | 220 |
| 190 and 116 | 11020 |
| 132 and 119 | 15708 |
| 155 and 173 | 26815 |