Least Common Multiple (LCM) of 151 and 79
The least common multiple (LCM) of 151 and 79 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 151 and 79?
First, calculate the GCD of 151 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 79 = 1 remainder 72 |
| 2 | 79 ÷ 72 = 1 remainder 7 |
| 3 | 72 ÷ 7 = 10 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 193 | 18528 |
| 190 and 22 | 2090 |
| 196 and 127 | 24892 |
| 108 and 146 | 7884 |
| 179 and 167 | 29893 |