Least Common Multiple of 7469 and 7472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7469 and 7472 the smallest integer that is 55808368 that is divisible by both numbers.

Least Common Multiple (LCM) of 7469 and 7472 is 55808368.

LCM(7469,7472) = 55808368

LCM of 7469 and 7472

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

LCM of:
and

Least Common Multiple of 7469 and 7472

LCM of 7469 and 7472 is 55808368

Least common multiple can be found by multiplying the highest exponent prime factors of 7469 and 7472. First we will calculate the prime factors of 7469 and 7472.

Prime Factorization of 7469


7 7469
11 1067
97 97
1

Prime factors of 7469 are 7, 11,97. Prime factorization of 7469 in exponential form is:

7469 = 71×111×971

Prime Factorization of 7472


2 7472
2 3736
2 1868
2 934
467 467
1

Prime factors of 7472 are 2,467. Prime factorization of 7472 in exponential form is:

7472 = 24×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 7469 and 7472.

LCM(7469,7472) = 24×71×111×971×4671
LCM(7469,7472) = 55808368

Factors of 7469

List of positive integer factors of 7469 that divides 7469 without a remainder.

1, 7, 11, 77, 97, 679, 1067, 7469

Factors of 7472

List of positive integer factors of 7472 that divides 7472 without a remainder.

1, 2, 4, 8, 16, 467, 934, 1868, 3736, 7472

Least Common Multiple of 7469 and 7472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7469 and 7472, than apply into the LCM equation.

GCF(7469,7472) = 1
LCM(7469,7472) = ( 7469 × 7472) / 1
LCM(7469,7472) = 55808368 / 1
LCM(7469,7472) = 55808368

Properties of LCM 7469 and 7472

(i) The LCM of 7472 and 7469 is associative

LCM of 7469 and 7472 = LCM of 7472 and 7469

Related Least Common Multiples of 7469

Related Least Common Multiples of 7472

Frequently Asked Questions on LCM of 7469 and 7472

1. What is the LCM of 7469 and 7472?

Answer: LCM of 7469 and 7472 is 55808368.

2. What are the Factors of 7469?

Answer: Factors of 7469 are 1, 7, 11, 77, 97, 679, 1067, 7469. There are 8 integers that are factors of 7469. The greatest factor of 7469 is 7469.

3. What are the Factors of 7472?

Answer: Factors of 7472 are 1, 2, 4, 8, 16, 467, 934, 1868, 3736, 7472. There are 10 integers that are factors of 7472. The greatest factor of 7472 is 7472.

4. How to Find the LCM of 7469 and 7472?

Answer:

Least Common Multiple of 7469 and 7472 = 55808368

Step 1: Find the prime factorization of 7469

7469 = 7 x 11 x 97

Step 2: Find the prime factorization of 7472

7472 = 2 x 2 x 2 x 2 x 467

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

LCM = 55808368 = 2 x 2 x 2 x 2 x 7 x 11 x 97 x 467

Step 4: Therefore, the least common multiple of 7469 and 7472 is 55808368.