Least Common Multiple of 728, 1352

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 728, 1352 i.e. 9464 smallest integer divisible by all numbers.

Least common multiple (LCM) of 728, 1352 is 9464.

LCM(728, 1352) = 9464

LCM of 728, 1352

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

LCM of:

Least Common Multiple of 728,1352

Least Common Multiple (LCM) of 728,1352 is 9464

2 728, 1352
2 364, 676
2 182, 338
13 91, 169
7, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 7 x 13 = 9464

Least Common Multiple of 728,1352 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 728,1352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,1352) = 104

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

GCF(728,1352) x common factors =104 x 1 = 104

LCM(728,1352) = ( 728 × 1352 ) / 104

LCM(728,1352) = 984256 / 104

LCM(728,1352) = 9464

∴ Least Common Multiple of 728,1352 is 9464

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 728, 1352

1. What is the LCM of 728, 1352?

Answer: LCM of 728, 1352 is 9464.

2. What are the Factors of 9464?

Answer: Factors of 9464 are . There are integers that are factors of 9464

3. How to Find the LCM of 728, 1352 ?

Least Common Multiple of 728, 1352.

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(728, 1352) = 2 x 2 x 2 x 7 x 13 x 13 = 9464.