Least Common Multiple of 7467 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 7467 and 7472 the smallest integer that is 55793424 that is divisible by both numbers.

Least Common Multiple (LCM) of 7467 and 7472 is 55793424.

LCM(7467,7472) = 55793424

LCM of 7467 and 7472

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

LCM of:
and

Least Common Multiple of 7467 and 7472

LCM of 7467 and 7472 is 55793424

Least common multiple can be found by multiplying the highest exponent prime factors of 7467 and 7472. First we will calculate the prime factors of 7467 and 7472.

Prime Factorization of 7467


3 7467
19 2489
131 131
1

Prime factors of 7467 are 3, 19,131. Prime factorization of 7467 in exponential form is:

7467 = 31×191×1311

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 7467 and 7472.

LCM(7467,7472) = 24×31×191×1311×4671
LCM(7467,7472) = 55793424

Factors of 7467

List of positive integer factors of 7467 that divides 7467 without a remainder.

1, 3, 19, 57, 131, 393, 2489, 7467

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 7467 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 7467 and 7472, than apply into the LCM equation.

GCF(7467,7472) = 1
LCM(7467,7472) = ( 7467 × 7472) / 1
LCM(7467,7472) = 55793424 / 1
LCM(7467,7472) = 55793424

Properties of LCM 7467 and 7472

(i) The LCM of 7472 and 7467 is associative

LCM of 7467 and 7472 = LCM of 7472 and 7467

Related Least Common Multiples of 7467

Related Least Common Multiples of 7472

Frequently Asked Questions on LCM of 7467 and 7472

1. What is the LCM of 7467 and 7472?

Answer: LCM of 7467 and 7472 is 55793424.

2. What are the Factors of 7467?

Answer: Factors of 7467 are 1, 3, 19, 57, 131, 393, 2489, 7467. There are 8 integers that are factors of 7467. The greatest factor of 7467 is 7467.

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 7467 and 7472?

Answer:

Least Common Multiple of 7467 and 7472 = 55793424

Step 1: Find the prime factorization of 7467

7467 = 3 x 19 x 131

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 = 55793424 = 2 x 2 x 2 x 2 x 3 x 19 x 131 x 467

Step 4: Therefore, the least common multiple of 7467 and 7472 is 55793424.