Least Common Multiple of 7474 and 7478

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 7478 the smallest integer that is 27945286 that is divisible by both numbers.

Least Common Multiple (LCM) of 7474 and 7478 is 27945286.

LCM(7474,7478) = 27945286

LCM of 7474 and 7478

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

LCM of:
and

Least Common Multiple of 7474 and 7478

LCM of 7474 and 7478 is 27945286

Least common multiple can be found by multiplying the highest exponent prime factors of 7474 and 7478. First we will calculate the prime factors of 7474 and 7478.

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 7478


2 7478
3739 3739
1

Prime factors of 7478 are 2,3739. Prime factorization of 7478 in exponential form is:

7478 = 21×37391

Now multiplying the highest exponent prime factors to calculate the LCM of 7474 and 7478.

LCM(7474,7478) = 21×371×1011×37391
LCM(7474,7478) = 27945286

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 7478

List of positive integer factors of 7478 that divides 7478 without a remainder.

1, 2, 3739, 7478

Least Common Multiple of 7474 and 7478 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 7478, than apply into the LCM equation.

GCF(7474,7478) = 2
LCM(7474,7478) = ( 7474 × 7478) / 2
LCM(7474,7478) = 55890572 / 2
LCM(7474,7478) = 27945286

Properties of LCM 7474 and 7478

(i) The LCM of 7478 and 7474 is associative

LCM of 7474 and 7478 = LCM of 7478 and 7474

Related Least Common Multiples of 7474

Related Least Common Multiples of 7478

Frequently Asked Questions on LCM of 7474 and 7478

1. What is the LCM of 7474 and 7478?

Answer: LCM of 7474 and 7478 is 27945286.

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 7478?

Answer: Factors of 7478 are 1, 2, 3739, 7478. There are 4 integers that are factors of 7478. The greatest factor of 7478 is 7478.

4. How to Find the LCM of 7474 and 7478?

Answer:

Least Common Multiple of 7474 and 7478 = 27945286

Step 1: Find the prime factorization of 7474

7474 = 2 x 37 x 101

Step 2: Find the prime factorization of 7478

7478 = 2 x 3739

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

LCM = 27945286 = 2 x 37 x 101 x 3739

Step 4: Therefore, the least common multiple of 7474 and 7478 is 27945286.