Least Common Multiple of 7044 and 7050

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 7050 the smallest integer that is 8276700 that is divisible by both numbers.

Least Common Multiple (LCM) of 7044 and 7050 is 8276700.

LCM(7044,7050) = 8276700

LCM of 7044 and 7050

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

LCM of:
and

Least Common Multiple of 7044 and 7050

LCM of 7044 and 7050 is 8276700

Least common multiple can be found by multiplying the highest exponent prime factors of 7044 and 7050. First we will calculate the prime factors of 7044 and 7050.

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 7050


2 7050
3 3525
5 1175
5 235
47 47
1

Prime factors of 7050 are 2, 3, 5,47. Prime factorization of 7050 in exponential form is:

7050 = 21×31×52×471

Now multiplying the highest exponent prime factors to calculate the LCM of 7044 and 7050.

LCM(7044,7050) = 22×31×52×471×5871
LCM(7044,7050) = 8276700

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 7050

List of positive integer factors of 7050 that divides 7050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 47, 50, 75, 94, 141, 150, 235, 282, 470, 705, 1175, 1410, 2350, 3525, 7050

Least Common Multiple of 7044 and 7050 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 7050, than apply into the LCM equation.

GCF(7044,7050) = 6
LCM(7044,7050) = ( 7044 × 7050) / 6
LCM(7044,7050) = 49660200 / 6
LCM(7044,7050) = 8276700

Properties of LCM 7044 and 7050

(i) The LCM of 7050 and 7044 is associative

LCM of 7044 and 7050 = LCM of 7050 and 7044

Related Least Common Multiples of 7044

Related Least Common Multiples of 7050

Frequently Asked Questions on LCM of 7044 and 7050

1. What is the LCM of 7044 and 7050?

Answer: LCM of 7044 and 7050 is 8276700.

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 7050?

Answer: Factors of 7050 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 47, 50, 75, 94, 141, 150, 235, 282, 470, 705, 1175, 1410, 2350, 3525, 7050. There are 24 integers that are factors of 7050. The greatest factor of 7050 is 7050.

4. How to Find the LCM of 7044 and 7050?

Answer:

Least Common Multiple of 7044 and 7050 = 8276700

Step 1: Find the prime factorization of 7044

7044 = 2 x 2 x 3 x 587

Step 2: Find the prime factorization of 7050

7050 = 2 x 3 x 5 x 5 x 47

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

LCM = 8276700 = 2 x 2 x 3 x 5 x 5 x 47 x 587

Step 4: Therefore, the least common multiple of 7044 and 7050 is 8276700.