Least Common Multiple (LCM) of 168 and 35
The least common multiple (LCM) of 168 and 35 is 840.
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 168 and 35?
First, calculate the GCD of 168 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 35 = 4 remainder 28 |
| 2 | 35 ÷ 28 = 1 remainder 7 |
| 3 | 28 ÷ 7 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 183 | 11712 |
| 110 and 121 | 1210 |
| 130 and 200 | 2600 |
| 170 and 60 | 1020 |
| 114 and 62 | 3534 |