Least Common Multiple (LCM) of 156 and 86
The least common multiple (LCM) of 156 and 86 is 6708.
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 86?
First, calculate the GCD of 156 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 86 = 1 remainder 70 |
| 2 | 86 ÷ 70 = 1 remainder 16 |
| 3 | 70 ÷ 16 = 4 remainder 6 |
| 4 | 16 ÷ 6 = 2 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 142 | 1278 |
| 61 and 115 | 7015 |
| 192 and 115 | 22080 |
| 95 and 160 | 3040 |
| 111 and 101 | 11211 |