Least Common Multiple (LCM) of 151 and 179
The least common multiple (LCM) of 151 and 179 is 27029.
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 179?
First, calculate the GCD of 151 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 179 = 0 remainder 151 |
| 2 | 179 ÷ 151 = 1 remainder 28 |
| 3 | 151 ÷ 28 = 5 remainder 11 |
| 4 | 28 ÷ 11 = 2 remainder 6 |
| 5 | 11 ÷ 6 = 1 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 16 | 2000 |
| 102 and 174 | 2958 |
| 40 and 40 | 40 |
| 154 and 26 | 2002 |
| 167 and 90 | 15030 |