Least Common Multiple of 7470 and 7477

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 7477 the smallest integer that is 55853190 that is divisible by both numbers.

Least Common Multiple (LCM) of 7470 and 7477 is 55853190.

LCM(7470,7477) = 55853190

LCM of 7470 and 7477

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

LCM of:
and

Least Common Multiple of 7470 and 7477

LCM of 7470 and 7477 is 55853190

Least common multiple can be found by multiplying the highest exponent prime factors of 7470 and 7477. First we will calculate the prime factors of 7470 and 7477.

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 7477


7477 7477
1

Prime factors of 7477 are 7477. Prime factorization of 7477 in exponential form is:

7477 = 74771

Now multiplying the highest exponent prime factors to calculate the LCM of 7470 and 7477.

LCM(7470,7477) = 21×32×51×831×74771
LCM(7470,7477) = 55853190

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 7477

List of positive integer factors of 7477 that divides 7477 without a remainder.

1, 7477

Least Common Multiple of 7470 and 7477 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 7477, than apply into the LCM equation.

GCF(7470,7477) = 1
LCM(7470,7477) = ( 7470 × 7477) / 1
LCM(7470,7477) = 55853190 / 1
LCM(7470,7477) = 55853190

Properties of LCM 7470 and 7477

(i) The LCM of 7477 and 7470 is associative

LCM of 7470 and 7477 = LCM of 7477 and 7470

Related Least Common Multiples of 7470

Related Least Common Multiples of 7477

Frequently Asked Questions on LCM of 7470 and 7477

1. What is the LCM of 7470 and 7477?

Answer: LCM of 7470 and 7477 is 55853190.

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 7477?

Answer: Factors of 7477 are 1, 7477. There are 2 integers that are factors of 7477. The greatest factor of 7477 is 7477.

4. How to Find the LCM of 7470 and 7477?

Answer:

Least Common Multiple of 7470 and 7477 = 55853190

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 7477

7477 = 7477

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

LCM = 55853190 = 2 x 3 x 3 x 5 x 83 x 7477

Step 4: Therefore, the least common multiple of 7470 and 7477 is 55853190.