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 |
|---|---|
| 114 and 16 | 912 |
| 190 and 137 | 26030 |
| 199 and 17 | 3383 |
| 146 and 86 | 6278 |
| 40 and 144 | 720 |