Least Common Multiple (LCM) of 147 and 88
The least common multiple (LCM) of 147 and 88 is 12936.
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 147 and 88?
First, calculate the GCD of 147 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 88 = 1 remainder 59 |
| 2 | 88 ÷ 59 = 1 remainder 29 |
| 3 | 59 ÷ 29 = 2 remainder 1 |
| 4 | 29 ÷ 1 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 93 | 2139 |
| 44 and 133 | 5852 |
| 67 and 171 | 11457 |
| 37 and 58 | 2146 |
| 150 and 87 | 4350 |