Least Common Multiple (LCM) of 156 and 79
The least common multiple (LCM) of 156 and 79 is 12324.
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 79?
First, calculate the GCD of 156 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 79 = 1 remainder 77 |
| 2 | 79 ÷ 77 = 1 remainder 2 |
| 3 | 77 ÷ 2 = 38 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 97 | 13192 |
| 30 and 140 | 420 |
| 68 and 170 | 340 |
| 137 and 115 | 15755 |
| 18 and 134 | 1206 |