Least Common Multiple of 7470 and 7476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7470 and 7476 the smallest integer that is 9307620 that is divisible by both numbers.

Least Common Multiple (LCM) of 7470 and 7476 is 9307620.

LCM(7470,7476) = 9307620

LCM of 7470 and 7476

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

LCM of:
and

Least Common Multiple of 7470 and 7476

LCM of 7470 and 7476 is 9307620

Least common multiple can be found by multiplying the highest exponent prime factors of 7470 and 7476. First we will calculate the prime factors of 7470 and 7476.

Prime Factorization of 7470


2 7470
3 3735
3 1245
5 415
83 83
1

Prime factors of 7470 are 2, 3, 5,83. Prime factorization of 7470 in exponential form is:

7470 = 21×32×51×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7470 and 7476.

LCM(7470,7476) = 22×32×51×71×831×891
LCM(7470,7476) = 9307620

Factors of 7470

List of positive integer factors of 7470 that divides 7470 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 83, 90, 166, 249, 415, 498, 747, 830, 1245, 1494, 2490, 3735, 7470

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

Least Common Multiple of 7470 and 7476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7470 and 7476, than apply into the LCM equation.

GCF(7470,7476) = 6
LCM(7470,7476) = ( 7470 × 7476) / 6
LCM(7470,7476) = 55845720 / 6
LCM(7470,7476) = 9307620

Properties of LCM 7470 and 7476

(i) The LCM of 7476 and 7470 is associative

LCM of 7470 and 7476 = LCM of 7476 and 7470

Related Least Common Multiples of 7470

Related Least Common Multiples of 7476

Frequently Asked Questions on LCM of 7470 and 7476

1. What is the LCM of 7470 and 7476?

Answer: LCM of 7470 and 7476 is 9307620.

2. What are the Factors of 7470?

Answer: Factors of 7470 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 83, 90, 166, 249, 415, 498, 747, 830, 1245, 1494, 2490, 3735, 7470. There are 24 integers that are factors of 7470. The greatest factor of 7470 is 7470.

3. 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.

4. How to Find the LCM of 7470 and 7476?

Answer:

Least Common Multiple of 7470 and 7476 = 9307620

Step 1: Find the prime factorization of 7470

7470 = 2 x 3 x 3 x 5 x 83

Step 2: Find the prime factorization of 7476

7476 = 2 x 2 x 3 x 7 x 89

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

LCM = 9307620 = 2 x 2 x 3 x 3 x 5 x 7 x 83 x 89

Step 4: Therefore, the least common multiple of 7470 and 7476 is 9307620.