Least Common Multiple of 5984, 1408

Q: How to Find the LCM of 5984, 1408 ?

Least Common Multiple of 5984, 1408 = 23936 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(5984, 1408) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11 x 17 = 23936.

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 5984, 1408 i.e. 23936 smallest integer divisible by all numbers.

Least common multiple (LCM) of 5984, 1408 is 23936.

LCM(5984, 1408) = 23936

LCM of 5984, 1408

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

Least Common Multiple of 5984, 1408 by common division method
Least Common Multiple of 5984, 1408 with GCF Formula

Least Common Multiple of 5984,1408

Least Common Multiple (LCM) of 5984,1408 is 23936

2	5984, 1408
2	2992, 704
2	1496, 352
2	748, 176
2	374, 88
11	187, 44
	17, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 11 x 17 x 4 = 23936

Least Common Multiple of 5984,1408 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 5984,1408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5984,1408) = 352

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

GCF(5984,1408) x common factors =352 x 1 = 352

LCM(5984,1408) = ( 5984 × 1408 ) / 352

LCM(5984,1408) = 8425472 / 352

LCM(5984,1408) = 23936

∴ Least Common Multiple of 5984,1408 is 23936

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 5984, 1408

1. What is the LCM of 5984, 1408?

Answer: LCM of 5984, 1408 is 23936.

2. What are the Factors of 23936?

Answer: Factors of 23936 are . There are integers that are factors of 23936

3. How to Find the LCM of 5984, 1408 ?

Least Common Multiple of 5984, 1408.

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(5984, 1408) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11 x 17 = 23936.