Least Common Multiple (LCM) of 49 and 91
The least common multiple (LCM) of 49 and 91 is 637.
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 91?
First, calculate the GCD of 49 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 49 ÷ 91 = 0 remainder 49 |
| 2 | 91 ÷ 49 = 1 remainder 42 |
| 3 | 49 ÷ 42 = 1 remainder 7 |
| 4 | 42 ÷ 7 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 87 | 7134 |
| 100 and 140 | 700 |
| 144 and 140 | 5040 |
| 147 and 73 | 10731 |
| 148 and 117 | 17316 |