Least Common Multiple (LCM) of 162 and 79
The least common multiple (LCM) of 162 and 79 is 12798.
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 162 and 79?
First, calculate the GCD of 162 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 79 = 2 remainder 4 |
| 2 | 79 ÷ 4 = 19 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 12 | 1524 |
| 135 and 37 | 4995 |
| 160 and 112 | 1120 |
| 139 and 173 | 24047 |
| 53 and 16 | 848 |