Least Common Multiple (LCM) of 114 and 35
The least common multiple (LCM) of 114 and 35 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 114 and 35?
First, calculate the GCD of 114 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 35 = 3 remainder 9 |
| 2 | 35 ÷ 9 = 3 remainder 8 |
| 3 | 9 ÷ 8 = 1 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 111 | 17871 |
| 152 and 170 | 12920 |
| 44 and 37 | 1628 |
| 186 and 177 | 10974 |
| 137 and 173 | 23701 |