Least Common Multiple of 7474 and 7480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7474 and 7480 the smallest integer that is 27952760 that is divisible by both numbers.

Least Common Multiple (LCM) of 7474 and 7480 is 27952760.

LCM(7474,7480) = 27952760

LCM of 7474 and 7480

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

LCM of:
and

Least Common Multiple of 7474 and 7480

LCM of 7474 and 7480 is 27952760

Least common multiple can be found by multiplying the highest exponent prime factors of 7474 and 7480. First we will calculate the prime factors of 7474 and 7480.

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

Prime Factorization of 7480


2 7480
2 3740
2 1870
5 935
11 187
17 17
1

Prime factors of 7480 are 2, 5, 11,17. Prime factorization of 7480 in exponential form is:

7480 = 23×51×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 7474 and 7480.

LCM(7474,7480) = 23×51×111×171×371×1011
LCM(7474,7480) = 27952760

Factors of 7474

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

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

Factors of 7480

List of positive integer factors of 7480 that divides 7480 without a remainder.

1, 2, 4, 5, 8, 10, 11, 17, 20, 22, 34, 40, 44, 55, 68, 85, 88, 110, 136, 170, 187, 220, 340, 374, 440, 680, 748, 935, 1496, 1870, 3740, 7480

Least Common Multiple of 7474 and 7480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7474 and 7480, than apply into the LCM equation.

GCF(7474,7480) = 2
LCM(7474,7480) = ( 7474 × 7480) / 2
LCM(7474,7480) = 55905520 / 2
LCM(7474,7480) = 27952760

Properties of LCM 7474 and 7480

(i) The LCM of 7480 and 7474 is associative

LCM of 7474 and 7480 = LCM of 7480 and 7474

Related Least Common Multiples of 7474

Related Least Common Multiples of 7480

Frequently Asked Questions on LCM of 7474 and 7480

1. What is the LCM of 7474 and 7480?

Answer: LCM of 7474 and 7480 is 27952760.

2. 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.

3. What are the Factors of 7480?

Answer: Factors of 7480 are 1, 2, 4, 5, 8, 10, 11, 17, 20, 22, 34, 40, 44, 55, 68, 85, 88, 110, 136, 170, 187, 220, 340, 374, 440, 680, 748, 935, 1496, 1870, 3740, 7480. There are 32 integers that are factors of 7480. The greatest factor of 7480 is 7480.

4. How to Find the LCM of 7474 and 7480?

Answer:

Least Common Multiple of 7474 and 7480 = 27952760

Step 1: Find the prime factorization of 7474

7474 = 2 x 37 x 101

Step 2: Find the prime factorization of 7480

7480 = 2 x 2 x 2 x 5 x 11 x 17

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

LCM = 27952760 = 2 x 2 x 2 x 5 x 11 x 17 x 37 x 101

Step 4: Therefore, the least common multiple of 7474 and 7480 is 27952760.