Least Common Multiple of 7401 and 7408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7401 and 7408 the smallest integer that is 54826608 that is divisible by both numbers.

Least Common Multiple (LCM) of 7401 and 7408 is 54826608.

LCM(7401,7408) = 54826608

LCM of 7401 and 7408

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

LCM of:
and

Least Common Multiple of 7401 and 7408

LCM of 7401 and 7408 is 54826608

Least common multiple can be found by multiplying the highest exponent prime factors of 7401 and 7408. First we will calculate the prime factors of 7401 and 7408.

Prime Factorization of 7401


3 7401
2467 2467
1

Prime factors of 7401 are 3,2467. Prime factorization of 7401 in exponential form is:

7401 = 31×24671

Prime Factorization of 7408


2 7408
2 3704
2 1852
2 926
463 463
1

Prime factors of 7408 are 2,463. Prime factorization of 7408 in exponential form is:

7408 = 24×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 7401 and 7408.

LCM(7401,7408) = 24×31×4631×24671
LCM(7401,7408) = 54826608

Factors of 7401

List of positive integer factors of 7401 that divides 7401 without a remainder.

1, 3, 2467, 7401

Factors of 7408

List of positive integer factors of 7408 that divides 7408 without a remainder.

1, 2, 4, 8, 16, 463, 926, 1852, 3704, 7408

Least Common Multiple of 7401 and 7408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7401 and 7408, than apply into the LCM equation.

GCF(7401,7408) = 1
LCM(7401,7408) = ( 7401 × 7408) / 1
LCM(7401,7408) = 54826608 / 1
LCM(7401,7408) = 54826608

Properties of LCM 7401 and 7408

(i) The LCM of 7408 and 7401 is associative

LCM of 7401 and 7408 = LCM of 7408 and 7401

Related Least Common Multiples of 7401

Related Least Common Multiples of 7408

Frequently Asked Questions on LCM of 7401 and 7408

1. What is the LCM of 7401 and 7408?

Answer: LCM of 7401 and 7408 is 54826608.

2. What are the Factors of 7401?

Answer: Factors of 7401 are 1, 3, 2467, 7401. There are 4 integers that are factors of 7401. The greatest factor of 7401 is 7401.

3. What are the Factors of 7408?

Answer: Factors of 7408 are 1, 2, 4, 8, 16, 463, 926, 1852, 3704, 7408. There are 10 integers that are factors of 7408. The greatest factor of 7408 is 7408.

4. How to Find the LCM of 7401 and 7408?

Answer:

Least Common Multiple of 7401 and 7408 = 54826608

Step 1: Find the prime factorization of 7401

7401 = 3 x 2467

Step 2: Find the prime factorization of 7408

7408 = 2 x 2 x 2 x 2 x 463

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

LCM = 54826608 = 2 x 2 x 2 x 2 x 3 x 463 x 2467

Step 4: Therefore, the least common multiple of 7401 and 7408 is 54826608.