Least Common Multiple (LCM) of 157 and 140
The least common multiple (LCM) of 157 and 140 is 21980.
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 157 and 140?
First, calculate the GCD of 157 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 140 = 1 remainder 17 |
| 2 | 140 ÷ 17 = 8 remainder 4 |
| 3 | 17 ÷ 4 = 4 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 122 | 6832 |
| 75 and 87 | 2175 |
| 92 and 163 | 14996 |
| 34 and 31 | 1054 |
| 67 and 11 | 737 |