Least Common Multiple (LCM) of 140 and 152
The least common multiple (LCM) of 140 and 152 is 5320.
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 152?
First, calculate the GCD of 140 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 152 = 0 remainder 140 |
| 2 | 152 ÷ 140 = 1 remainder 12 |
| 3 | 140 ÷ 12 = 11 remainder 8 |
| 4 | 12 ÷ 8 = 1 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 40 | 760 |
| 26 and 45 | 1170 |
| 51 and 70 | 3570 |
| 150 and 113 | 16950 |
| 101 and 142 | 14342 |