Least Common Multiple (LCM) of 79 and 152
The least common multiple (LCM) of 79 and 152 is 12008.
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 79 and 152?
First, calculate the GCD of 79 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 152 = 0 remainder 79 |
| 2 | 152 ÷ 79 = 1 remainder 73 |
| 3 | 79 ÷ 73 = 1 remainder 6 |
| 4 | 73 ÷ 6 = 12 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 31 | 3658 |
| 173 and 92 | 15916 |
| 199 and 146 | 29054 |
| 20 and 124 | 620 |
| 90 and 197 | 17730 |