Least Common Multiple (LCM) of 120 and 140
The least common multiple (LCM) of 120 and 140 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 120 and 140?
First, calculate the GCD of 120 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 140 = 0 remainder 120 |
| 2 | 140 ÷ 120 = 1 remainder 20 |
| 3 | 120 ÷ 20 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 130 | 10010 |
| 198 and 114 | 3762 |
| 41 and 92 | 3772 |
| 172 and 63 | 10836 |
| 76 and 48 | 912 |