Least Common Multiple (LCM) of 140 and 60
The least common multiple (LCM) of 140 and 60 is 420.
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 140 and 60?
First, calculate the GCD of 140 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 60 = 2 remainder 20 |
| 2 | 60 ÷ 20 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 19 | 3154 |
| 181 and 63 | 11403 |
| 184 and 74 | 6808 |
| 18 and 37 | 666 |
| 57 and 118 | 6726 |