Least Common Multiple (LCM) of 78 and 156
The least common multiple (LCM) of 78 and 156 is 156.
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 78 and 156?
First, calculate the GCD of 78 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 78 ÷ 156 = 0 remainder 78 |
| 2 | 156 ÷ 78 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 109 | 14061 |
| 164 and 170 | 13940 |
| 89 and 137 | 12193 |
| 180 and 59 | 10620 |
| 194 and 53 | 10282 |