Least Common Multiple (LCM) of 49 and 88
The least common multiple (LCM) of 49 and 88 is 4312.
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 49 and 88?
First, calculate the GCD of 49 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 49 ÷ 88 = 0 remainder 49 |
| 2 | 88 ÷ 49 = 1 remainder 39 |
| 3 | 49 ÷ 39 = 1 remainder 10 |
| 4 | 39 ÷ 10 = 3 remainder 9 |
| 5 | 10 ÷ 9 = 1 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 150 | 1950 |
| 64 and 139 | 8896 |
| 122 and 200 | 12200 |
| 70 and 184 | 6440 |
| 178 and 125 | 22250 |