Least Common Multiple of 6144, 1152

Q: How to Find the LCM of 6144, 1152 ?

Least Common Multiple of 6144, 1152 = 18432 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(6144, 1152) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 = 18432.

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 6144, 1152 i.e. 18432 smallest integer divisible by all numbers.

Least common multiple (LCM) of 6144, 1152 is 18432.

LCM(6144, 1152) = 18432

LCM of 6144, 1152

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

Least Common Multiple of 6144, 1152 by common division method
Least Common Multiple of 6144, 1152 with GCF Formula

Least Common Multiple of 6144,1152

Least Common Multiple (LCM) of 6144,1152 is 18432

2	6144, 1152
2	3072, 576
2	1536, 288
2	768, 144
2	384, 72
2	192, 36
2	96, 18
3	48, 9
	16, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 16 x 3 = 18432

Least Common Multiple of 6144,1152 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 6144,1152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6144,1152) = 384

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

GCF(6144,1152) x common factors =384 x 1 = 384

LCM(6144,1152) = ( 6144 × 1152 ) / 384

LCM(6144,1152) = 7077888 / 384

LCM(6144,1152) = 18432

∴ Least Common Multiple of 6144,1152 is 18432

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 6144, 1152

1. What is the LCM of 6144, 1152?

Answer: LCM of 6144, 1152 is 18432.

2. What are the Factors of 18432?

Answer: Factors of 18432 are . There are integers that are factors of 18432

3. How to Find the LCM of 6144, 1152 ?

Least Common Multiple of 6144, 1152.

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(6144, 1152) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 = 18432.