Least Common Multiple (LCM) of 10 and 79
The least common multiple (LCM) of 10 and 79 is 790.
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 10 and 79?
First, calculate the GCD of 10 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 10 ÷ 79 = 0 remainder 10 |
| 2 | 79 ÷ 10 = 7 remainder 9 |
| 3 | 10 ÷ 9 = 1 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 75 | 2550 |
| 144 and 60 | 720 |
| 152 and 13 | 1976 |
| 62 and 38 | 1178 |
| 68 and 159 | 10812 |