Least Common Multiple (LCM) of 70 and 114
The least common multiple (LCM) of 70 and 114 is 3990.
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 114?
First, calculate the GCD of 70 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 114 = 0 remainder 70 |
| 2 | 114 ÷ 70 = 1 remainder 44 |
| 3 | 70 ÷ 44 = 1 remainder 26 |
| 4 | 44 ÷ 26 = 1 remainder 18 |
| 5 | 26 ÷ 18 = 1 remainder 8 |
| 6 | 18 ÷ 8 = 2 remainder 2 |
| 7 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 134 | 12194 |
| 78 and 74 | 2886 |
| 114 and 168 | 3192 |
| 68 and 200 | 3400 |
| 183 and 147 | 8967 |