Least Common Multiple of 7458 and 7462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7458 and 7462 the smallest integer that is 27825798 that is divisible by both numbers.

Least Common Multiple (LCM) of 7458 and 7462 is 27825798.

LCM(7458,7462) = 27825798

LCM of 7458 and 7462

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

LCM of:
and

Least Common Multiple of 7458 and 7462

LCM of 7458 and 7462 is 27825798

Least common multiple can be found by multiplying the highest exponent prime factors of 7458 and 7462. First we will calculate the prime factors of 7458 and 7462.

Prime Factorization of 7458


2 7458
3 3729
11 1243
113 113
1

Prime factors of 7458 are 2, 3, 11,113. Prime factorization of 7458 in exponential form is:

7458 = 21×31×111×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7458 and 7462.

LCM(7458,7462) = 21×31×71×111×131×411×1131
LCM(7458,7462) = 27825798

Factors of 7458

List of positive integer factors of 7458 that divides 7458 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 113, 226, 339, 678, 1243, 2486, 3729, 7458

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

Least Common Multiple of 7458 and 7462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7458 and 7462, than apply into the LCM equation.

GCF(7458,7462) = 2
LCM(7458,7462) = ( 7458 × 7462) / 2
LCM(7458,7462) = 55651596 / 2
LCM(7458,7462) = 27825798

Properties of LCM 7458 and 7462

(i) The LCM of 7462 and 7458 is associative

LCM of 7458 and 7462 = LCM of 7462 and 7458

Related Least Common Multiples of 7458

Related Least Common Multiples of 7462

Frequently Asked Questions on LCM of 7458 and 7462

1. What is the LCM of 7458 and 7462?

Answer: LCM of 7458 and 7462 is 27825798.

2. What are the Factors of 7458?

Answer: Factors of 7458 are 1, 2, 3, 6, 11, 22, 33, 66, 113, 226, 339, 678, 1243, 2486, 3729, 7458. There are 16 integers that are factors of 7458. The greatest factor of 7458 is 7458.

3. 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.

4. How to Find the LCM of 7458 and 7462?

Answer:

Least Common Multiple of 7458 and 7462 = 27825798

Step 1: Find the prime factorization of 7458

7458 = 2 x 3 x 11 x 113

Step 2: Find the prime factorization of 7462

7462 = 2 x 7 x 13 x 41

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

LCM = 27825798 = 2 x 3 x 7 x 11 x 13 x 41 x 113

Step 4: Therefore, the least common multiple of 7458 and 7462 is 27825798.