Least Common Multiple (LCM) of 35 and 140
The least common multiple (LCM) of 35 and 140 is 140.
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 35 and 140?
First, calculate the GCD of 35 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 35 ÷ 140 = 0 remainder 35 |
| 2 | 140 ÷ 35 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 143 | 21021 |
| 126 and 10 | 630 |
| 140 and 117 | 16380 |
| 120 and 157 | 18840 |
| 106 and 186 | 9858 |