Least Common Multiple (LCM) of 79 and 151
The least common multiple (LCM) of 79 and 151 is 11929.
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 151?
First, calculate the GCD of 79 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 151 = 0 remainder 79 |
| 2 | 151 ÷ 79 = 1 remainder 72 |
| 3 | 79 ÷ 72 = 1 remainder 7 |
| 4 | 72 ÷ 7 = 10 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 105 | 18165 |
| 193 and 159 | 30687 |
| 163 and 189 | 30807 |
| 137 and 17 | 2329 |
| 104 and 60 | 1560 |