Least Common Multiple of 3072, 2348

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 3072, 2348 i.e. 1803264 smallest integer divisible by all numbers.

Least common multiple (LCM) of 3072, 2348 is 1803264.

LCM(3072, 2348) = 1803264

LCM of 3072, 2348

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 3072,2348

Least Common Multiple (LCM) of 3072,2348 is 1803264

2 3072, 2348
2 1536, 1174
768, 587

∴ So the LCM of the given numbers is 2 x 2 x 768 x 587 = 1803264

Least Common Multiple of 3072,2348 with GCF Formula

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 3072,2348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3072,2348) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(3072,2348) x common factors =4 x 1 = 4

LCM(3072,2348) = ( 3072 × 2348 ) / 4

LCM(3072,2348) = 7213056 / 4

LCM(3072,2348) = 1803264

∴ Least Common Multiple of 3072,2348 is 1803264

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 3072, 2348

1. What is the LCM of 3072, 2348?

Answer: LCM of 3072, 2348 is 1803264.

2. What are the Factors of 1803264?

Answer: Factors of 1803264 are . There are integers that are factors of 1803264

3. How to Find the LCM of 3072, 2348 ?

Least Common Multiple of 3072, 2348.

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(3072, 2348) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 587 = 1803264.