Least Common Multiple of 7476 and 7483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7476 and 7483 the smallest integer that is 7991844 that is divisible by both numbers.

Least Common Multiple (LCM) of 7476 and 7483 is 7991844.

LCM(7476,7483) = 7991844

LCM of 7476 and 7483

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

LCM of:
and

Least Common Multiple of 7476 and 7483

LCM of 7476 and 7483 is 7991844

Least common multiple can be found by multiplying the highest exponent prime factors of 7476 and 7483. First we will calculate the prime factors of 7476 and 7483.

Prime Factorization of 7476


2 7476
2 3738
3 1869
7 623
89 89
1

Prime factors of 7476 are 2, 3, 7,89. Prime factorization of 7476 in exponential form is:

7476 = 22×31×71×891

Prime Factorization of 7483


7 7483
1069 1069
1

Prime factors of 7483 are 7,1069. Prime factorization of 7483 in exponential form is:

7483 = 71×10691

Now multiplying the highest exponent prime factors to calculate the LCM of 7476 and 7483.

LCM(7476,7483) = 22×31×71×891×10691
LCM(7476,7483) = 7991844

Factors of 7476

List of positive integer factors of 7476 that divides 7476 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 89, 178, 267, 356, 534, 623, 1068, 1246, 1869, 2492, 3738, 7476

Factors of 7483

List of positive integer factors of 7483 that divides 7483 without a remainder.

1, 7, 1069, 7483

Least Common Multiple of 7476 and 7483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7476 and 7483, than apply into the LCM equation.

GCF(7476,7483) = 7
LCM(7476,7483) = ( 7476 × 7483) / 7
LCM(7476,7483) = 55942908 / 7
LCM(7476,7483) = 7991844

Properties of LCM 7476 and 7483

(i) The LCM of 7483 and 7476 is associative

LCM of 7476 and 7483 = LCM of 7483 and 7476

Related Least Common Multiples of 7476

Related Least Common Multiples of 7483

Frequently Asked Questions on LCM of 7476 and 7483

1. What is the LCM of 7476 and 7483?

Answer: LCM of 7476 and 7483 is 7991844.

2. What are the Factors of 7476?

Answer: Factors of 7476 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 89, 178, 267, 356, 534, 623, 1068, 1246, 1869, 2492, 3738, 7476. There are 24 integers that are factors of 7476. The greatest factor of 7476 is 7476.

3. What are the Factors of 7483?

Answer: Factors of 7483 are 1, 7, 1069, 7483. There are 4 integers that are factors of 7483. The greatest factor of 7483 is 7483.

4. How to Find the LCM of 7476 and 7483?

Answer:

Least Common Multiple of 7476 and 7483 = 7991844

Step 1: Find the prime factorization of 7476

7476 = 2 x 2 x 3 x 7 x 89

Step 2: Find the prime factorization of 7483

7483 = 7 x 1069

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

LCM = 7991844 = 2 x 2 x 3 x 7 x 89 x 1069

Step 4: Therefore, the least common multiple of 7476 and 7483 is 7991844.