Least Common Multiple of 7044 and 7051

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 7051 the smallest integer that is 49667244 that is divisible by both numbers.

Least Common Multiple (LCM) of 7044 and 7051 is 49667244.

LCM(7044,7051) = 49667244

LCM of 7044 and 7051

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

LCM of:
and

Least Common Multiple of 7044 and 7051

LCM of 7044 and 7051 is 49667244

Least common multiple can be found by multiplying the highest exponent prime factors of 7044 and 7051. First we will calculate the prime factors of 7044 and 7051.

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 7051


11 7051
641 641
1

Prime factors of 7051 are 11,641. Prime factorization of 7051 in exponential form is:

7051 = 111×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 7044 and 7051.

LCM(7044,7051) = 22×31×111×5871×6411
LCM(7044,7051) = 49667244

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 7051

List of positive integer factors of 7051 that divides 7051 without a remainder.

1, 11, 641, 7051

Least Common Multiple of 7044 and 7051 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 7051, than apply into the LCM equation.

GCF(7044,7051) = 1
LCM(7044,7051) = ( 7044 × 7051) / 1
LCM(7044,7051) = 49667244 / 1
LCM(7044,7051) = 49667244

Properties of LCM 7044 and 7051

(i) The LCM of 7051 and 7044 is associative

LCM of 7044 and 7051 = LCM of 7051 and 7044

Related Least Common Multiples of 7044

Related Least Common Multiples of 7051

Frequently Asked Questions on LCM of 7044 and 7051

1. What is the LCM of 7044 and 7051?

Answer: LCM of 7044 and 7051 is 49667244.

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 7051?

Answer: Factors of 7051 are 1, 11, 641, 7051. There are 4 integers that are factors of 7051. The greatest factor of 7051 is 7051.

4. How to Find the LCM of 7044 and 7051?

Answer:

Least Common Multiple of 7044 and 7051 = 49667244

Step 1: Find the prime factorization of 7044

7044 = 2 x 2 x 3 x 587

Step 2: Find the prime factorization of 7051

7051 = 11 x 641

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

LCM = 49667244 = 2 x 2 x 3 x 11 x 587 x 641

Step 4: Therefore, the least common multiple of 7044 and 7051 is 49667244.