Least Common Multiple (LCM) of 61 and 156
The least common multiple (LCM) of 61 and 156 is 9516.
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 61 and 156?
First, calculate the GCD of 61 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 156 = 0 remainder 61 |
| 2 | 156 ÷ 61 = 2 remainder 34 |
| 3 | 61 ÷ 34 = 1 remainder 27 |
| 4 | 34 ÷ 27 = 1 remainder 7 |
| 5 | 27 ÷ 7 = 3 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 80 | 13840 |
| 17 and 120 | 2040 |
| 147 and 197 | 28959 |
| 10 and 10 | 10 |
| 14 and 75 | 1050 |