Least Common Multiple (LCM) of 49 and 136
The least common multiple (LCM) of 49 and 136 is 6664.
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 136?
First, calculate the GCD of 49 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 49 ÷ 136 = 0 remainder 49 |
| 2 | 136 ÷ 49 = 2 remainder 38 |
| 3 | 49 ÷ 38 = 1 remainder 11 |
| 4 | 38 ÷ 11 = 3 remainder 5 |
| 5 | 11 ÷ 5 = 2 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 19 | 3743 |
| 176 and 195 | 34320 |
| 106 and 124 | 6572 |
| 30 and 137 | 4110 |
| 176 and 24 | 528 |