
Least Common Multiple (LCM) of 200 and 49
The least common multiple (LCM) of 200 and 49 is 9800.
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 200 and 49?
First, calculate the GCD of 200 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 200 ÷ 49 = 4 remainder 4 |
2 | 49 ÷ 4 = 12 remainder 1 |
3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
184 and 136 | 3128 |
32 and 133 | 4256 |
63 and 179 | 11277 |
102 and 39 | 1326 |
99 and 32 | 3168 |