Least Common Multiple of 1364, 5952

Q: How to Find the LCM of 1364, 5952 ?

Least Common Multiple of 1364, 5952 = 65472 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(1364, 5952) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 31 = 65472.

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 1364, 5952 i.e. 65472 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1364, 5952 is 65472.

LCM(1364, 5952) = 65472

LCM of 1364, 5952

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

Least Common Multiple of 1364, 5952 by common division method
Least Common Multiple of 1364, 5952 with GCF Formula

Least Common Multiple of 1364,5952

Least Common Multiple (LCM) of 1364,5952 is 65472

2	1364, 5952
2	682, 2976
31	341, 1488
	11, 48

∴ So the LCM of the given numbers is 2 x 2 x 31 x 11 x 48 = 65472

Least Common Multiple of 1364,5952 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 1364,5952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1364,5952) = 124

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

GCF(1364,5952) x common factors =124 x 1 = 124

LCM(1364,5952) = ( 1364 × 5952 ) / 124

LCM(1364,5952) = 8118528 / 124

LCM(1364,5952) = 65472

∴ Least Common Multiple of 1364,5952 is 65472

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 1364, 5952

1. What is the LCM of 1364, 5952?

Answer: LCM of 1364, 5952 is 65472.

2. What are the Factors of 65472?

Answer: Factors of 65472 are . There are integers that are factors of 65472

3. How to Find the LCM of 1364, 5952 ?

Least Common Multiple of 1364, 5952.

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(1364, 5952) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 31 = 65472.