Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 3538, 9516 i.e. 275964 smallest integer divisible by all numbers.
Least common multiple (LCM) of 3538, 9516 is 275964.
LCM(3538, 9516) = 275964
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 3538, 9516 |
61 | 1769, 4758 |
29, 78 |
∴ So the LCM of the given numbers is 2 x 61 x 29 x 78 = 275964
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 3538,9516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3538,9516) = 122
common factors(in case of two or more numbers have common factors) = 1
GCF(3538,9516) x common factors =122 x 1 = 122
LCM(3538,9516) = ( 3538 × 9516 ) / 122
LCM(3538,9516) = 33667608 / 122
LCM(3538,9516) = 275964
∴ Least Common Multiple of 3538,9516 is 275964
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 3538, 9516?
Answer: LCM of 3538, 9516 is 275964.
2. What are the Factors of 275964?
Answer: Factors of 275964 are . There are integers that are factors of 275964
3. How to Find the LCM of 3538, 9516 ?
Least Common Multiple of 3538, 9516.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(3538, 9516) = 2 x 2 x 3 x 13 x 29 x 61 = 275964.