Least Common Multiple of 7470 and 7474

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 7474 the smallest integer that is 27915390 that is divisible by both numbers.

Least Common Multiple (LCM) of 7470 and 7474 is 27915390.

LCM(7470,7474) = 27915390

LCM of 7470 and 7474

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

LCM of:
and

Least Common Multiple of 7470 and 7474

LCM of 7470 and 7474 is 27915390

Least common multiple can be found by multiplying the highest exponent prime factors of 7470 and 7474. First we will calculate the prime factors of 7470 and 7474.

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 7474


2 7474
37 3737
101 101
1

Prime factors of 7474 are 2, 37,101. Prime factorization of 7474 in exponential form is:

7474 = 21×371×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 7470 and 7474.

LCM(7470,7474) = 21×32×51×371×831×1011
LCM(7470,7474) = 27915390

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 7474

List of positive integer factors of 7474 that divides 7474 without a remainder.

1, 2, 37, 74, 101, 202, 3737, 7474

Least Common Multiple of 7470 and 7474 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 7474, than apply into the LCM equation.

GCF(7470,7474) = 2
LCM(7470,7474) = ( 7470 × 7474) / 2
LCM(7470,7474) = 55830780 / 2
LCM(7470,7474) = 27915390

Properties of LCM 7470 and 7474

(i) The LCM of 7474 and 7470 is associative

LCM of 7470 and 7474 = LCM of 7474 and 7470

Related Least Common Multiples of 7470

Related Least Common Multiples of 7474

Frequently Asked Questions on LCM of 7470 and 7474

1. What is the LCM of 7470 and 7474?

Answer: LCM of 7470 and 7474 is 27915390.

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 7474?

Answer: Factors of 7474 are 1, 2, 37, 74, 101, 202, 3737, 7474. There are 8 integers that are factors of 7474. The greatest factor of 7474 is 7474.

4. How to Find the LCM of 7470 and 7474?

Answer:

Least Common Multiple of 7470 and 7474 = 27915390

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 7474

7474 = 2 x 37 x 101

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

LCM = 27915390 = 2 x 3 x 3 x 5 x 37 x 83 x 101

Step 4: Therefore, the least common multiple of 7470 and 7474 is 27915390.