Least Common Multiple (LCM) of 61 and 147
The least common multiple (LCM) of 61 and 147 is 8967.
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 147?
First, calculate the GCD of 61 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 147 = 0 remainder 61 |
| 2 | 147 ÷ 61 = 2 remainder 25 |
| 3 | 61 ÷ 25 = 2 remainder 11 |
| 4 | 25 ÷ 11 = 2 remainder 3 |
| 5 | 11 ÷ 3 = 3 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 124 | 10292 |
| 114 and 116 | 6612 |
| 160 and 178 | 14240 |
| 200 and 169 | 33800 |
| 140 and 189 | 3780 |