Least Common Multiple of 7462 and 7468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7462 and 7468 the smallest integer that is 27863108 that is divisible by both numbers.

Least Common Multiple (LCM) of 7462 and 7468 is 27863108.

LCM(7462,7468) = 27863108

LCM of 7462 and 7468

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

LCM of:
and

Least Common Multiple of 7462 and 7468

LCM of 7462 and 7468 is 27863108

Least common multiple can be found by multiplying the highest exponent prime factors of 7462 and 7468. First we will calculate the prime factors of 7462 and 7468.

Prime Factorization of 7462


2 7462
7 3731
13 533
41 41
1

Prime factors of 7462 are 2, 7, 13,41. Prime factorization of 7462 in exponential form is:

7462 = 21×71×131×411

Prime Factorization of 7468


2 7468
2 3734
1867 1867
1

Prime factors of 7468 are 2,1867. Prime factorization of 7468 in exponential form is:

7468 = 22×18671

Now multiplying the highest exponent prime factors to calculate the LCM of 7462 and 7468.

LCM(7462,7468) = 22×71×131×411×18671
LCM(7462,7468) = 27863108

Factors of 7462

List of positive integer factors of 7462 that divides 7462 without a remainder.

1, 2, 7, 13, 14, 26, 41, 82, 91, 182, 287, 533, 574, 1066, 3731, 7462

Factors of 7468

List of positive integer factors of 7468 that divides 7468 without a remainder.

1, 2, 4, 1867, 3734, 7468

Least Common Multiple of 7462 and 7468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7462 and 7468, than apply into the LCM equation.

GCF(7462,7468) = 2
LCM(7462,7468) = ( 7462 × 7468) / 2
LCM(7462,7468) = 55726216 / 2
LCM(7462,7468) = 27863108

Properties of LCM 7462 and 7468

(i) The LCM of 7468 and 7462 is associative

LCM of 7462 and 7468 = LCM of 7468 and 7462

Related Least Common Multiples of 7462

Related Least Common Multiples of 7468

Frequently Asked Questions on LCM of 7462 and 7468

1. What is the LCM of 7462 and 7468?

Answer: LCM of 7462 and 7468 is 27863108.

2. What are the Factors of 7462?

Answer: Factors of 7462 are 1, 2, 7, 13, 14, 26, 41, 82, 91, 182, 287, 533, 574, 1066, 3731, 7462. There are 16 integers that are factors of 7462. The greatest factor of 7462 is 7462.

3. What are the Factors of 7468?

Answer: Factors of 7468 are 1, 2, 4, 1867, 3734, 7468. There are 6 integers that are factors of 7468. The greatest factor of 7468 is 7468.

4. How to Find the LCM of 7462 and 7468?

Answer:

Least Common Multiple of 7462 and 7468 = 27863108

Step 1: Find the prime factorization of 7462

7462 = 2 x 7 x 13 x 41

Step 2: Find the prime factorization of 7468

7468 = 2 x 2 x 1867

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

LCM = 27863108 = 2 x 2 x 7 x 13 x 41 x 1867

Step 4: Therefore, the least common multiple of 7462 and 7468 is 27863108.