Least Common Multiple of 1938, 3648

Q: How to Find the LCM of 1938, 3648 ?

Least Common Multiple of 1938, 3648 = 62016 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(1938, 3648) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 19 = 62016.

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 1938, 3648 i.e. 62016 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1938, 3648 is 62016.

LCM(1938, 3648) = 62016

LCM of 1938, 3648

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

Least Common Multiple of 1938, 3648 by common division method
Least Common Multiple of 1938, 3648 with GCF Formula

Least Common Multiple of 1938,3648

Least Common Multiple (LCM) of 1938,3648 is 62016

2	1938, 3648
3	969, 1824
19	323, 608
	17, 32

∴ So the LCM of the given numbers is 2 x 3 x 19 x 17 x 32 = 62016

Least Common Multiple of 1938,3648 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 1938,3648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1938,3648) = 114

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

GCF(1938,3648) x common factors =114 x 1 = 114

LCM(1938,3648) = ( 1938 × 3648 ) / 114

LCM(1938,3648) = 7069824 / 114

LCM(1938,3648) = 62016

∴ Least Common Multiple of 1938,3648 is 62016

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 1938, 3648

1. What is the LCM of 1938, 3648?

Answer: LCM of 1938, 3648 is 62016.

2. What are the Factors of 62016?

Answer: Factors of 62016 are . There are integers that are factors of 62016

3. How to Find the LCM of 1938, 3648 ?

Least Common Multiple of 1938, 3648.

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(1938, 3648) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 19 = 62016.