Least Common Multiple of 7044 and 7048

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7044 and 7048 the smallest integer that is 12411528 that is divisible by both numbers.

Least Common Multiple (LCM) of 7044 and 7048 is 12411528.

LCM(7044,7048) = 12411528

LCM of 7044 and 7048

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

LCM of:
and

Least Common Multiple of 7044 and 7048

LCM of 7044 and 7048 is 12411528

Least common multiple can be found by multiplying the highest exponent prime factors of 7044 and 7048. First we will calculate the prime factors of 7044 and 7048.

Prime Factorization of 7044


2 7044
2 3522
3 1761
587 587
1

Prime factors of 7044 are 2, 3,587. Prime factorization of 7044 in exponential form is:

7044 = 22×31×5871

Prime Factorization of 7048


2 7048
2 3524
2 1762
881 881
1

Prime factors of 7048 are 2,881. Prime factorization of 7048 in exponential form is:

7048 = 23×8811

Now multiplying the highest exponent prime factors to calculate the LCM of 7044 and 7048.

LCM(7044,7048) = 23×31×5871×8811
LCM(7044,7048) = 12411528

Factors of 7044

List of positive integer factors of 7044 that divides 7044 without a remainder.

1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044

Factors of 7048

List of positive integer factors of 7048 that divides 7048 without a remainder.

1, 2, 4, 8, 881, 1762, 3524, 7048

Least Common Multiple of 7044 and 7048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7044 and 7048, than apply into the LCM equation.

GCF(7044,7048) = 4
LCM(7044,7048) = ( 7044 × 7048) / 4
LCM(7044,7048) = 49646112 / 4
LCM(7044,7048) = 12411528

Properties of LCM 7044 and 7048

(i) The LCM of 7048 and 7044 is associative

LCM of 7044 and 7048 = LCM of 7048 and 7044

Related Least Common Multiples of 7044

Related Least Common Multiples of 7048

Frequently Asked Questions on LCM of 7044 and 7048

1. What is the LCM of 7044 and 7048?

Answer: LCM of 7044 and 7048 is 12411528.

2. What are the Factors of 7044?

Answer: Factors of 7044 are 1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044. There are 12 integers that are factors of 7044. The greatest factor of 7044 is 7044.

3. What are the Factors of 7048?

Answer: Factors of 7048 are 1, 2, 4, 8, 881, 1762, 3524, 7048. There are 8 integers that are factors of 7048. The greatest factor of 7048 is 7048.

4. How to Find the LCM of 7044 and 7048?

Answer:

Least Common Multiple of 7044 and 7048 = 12411528

Step 1: Find the prime factorization of 7044

7044 = 2 x 2 x 3 x 587

Step 2: Find the prime factorization of 7048

7048 = 2 x 2 x 2 x 881

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 12411528 = 2 x 2 x 2 x 3 x 587 x 881

Step 4: Therefore, the least common multiple of 7044 and 7048 is 12411528.