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 6496, 7656 i.e. 214368 smallest integer divisible by all numbers.
Least common multiple (LCM) of 6496, 7656 is 214368.
LCM(6496, 7656) = 214368
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 6496, 7656 |
2 | 3248, 3828 |
2 | 1624, 1914 |
29 | 812, 957 |
28, 33 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 28 x 33 = 214368
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 6496,7656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6496,7656) = 232
common factors(in case of two or more numbers have common factors) = 1
GCF(6496,7656) x common factors =232 x 1 = 232
LCM(6496,7656) = ( 6496 × 7656 ) / 232
LCM(6496,7656) = 49733376 / 232
LCM(6496,7656) = 214368
∴ Least Common Multiple of 6496,7656 is 214368
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 6496, 7656?
Answer: LCM of 6496, 7656 is 214368.
2. What are the Factors of 214368?
Answer: Factors of 214368 are . There are integers that are factors of 214368
3. How to Find the LCM of 6496, 7656 ?
Least Common Multiple of 6496, 7656.
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(6496, 7656) = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 29 = 214368.