Least Common Multiple (LCM) of 156 and 179
The least common multiple (LCM) of 156 and 179 is 27924.
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 156 and 179?
First, calculate the GCD of 156 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 179 = 0 remainder 156 |
| 2 | 179 ÷ 156 = 1 remainder 23 |
| 3 | 156 ÷ 23 = 6 remainder 18 |
| 4 | 23 ÷ 18 = 1 remainder 5 |
| 5 | 18 ÷ 5 = 3 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 12 | 228 |
| 116 and 28 | 812 |
| 42 and 185 | 7770 |
| 124 and 112 | 3472 |
| 149 and 21 | 3129 |