Least Common Multiple of 7458 and 7464

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 7464 the smallest integer that is 9277752 that is divisible by both numbers.

Least Common Multiple (LCM) of 7458 and 7464 is 9277752.

LCM(7458,7464) = 9277752

LCM of 7458 and 7464

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

LCM of:
and

Least Common Multiple of 7458 and 7464

LCM of 7458 and 7464 is 9277752

Least common multiple can be found by multiplying the highest exponent prime factors of 7458 and 7464. First we will calculate the prime factors of 7458 and 7464.

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 7464


2 7464
2 3732
2 1866
3 933
311 311
1

Prime factors of 7464 are 2, 3,311. Prime factorization of 7464 in exponential form is:

7464 = 23×31×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 7458 and 7464.

LCM(7458,7464) = 23×31×111×1131×3111
LCM(7458,7464) = 9277752

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 7464

List of positive integer factors of 7464 that divides 7464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732, 7464

Least Common Multiple of 7458 and 7464 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 7464, than apply into the LCM equation.

GCF(7458,7464) = 6
LCM(7458,7464) = ( 7458 × 7464) / 6
LCM(7458,7464) = 55666512 / 6
LCM(7458,7464) = 9277752

Properties of LCM 7458 and 7464

(i) The LCM of 7464 and 7458 is associative

LCM of 7458 and 7464 = LCM of 7464 and 7458

Related Least Common Multiples of 7458

Related Least Common Multiples of 7464

Frequently Asked Questions on LCM of 7458 and 7464

1. What is the LCM of 7458 and 7464?

Answer: LCM of 7458 and 7464 is 9277752.

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 7464?

Answer: Factors of 7464 are 1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732, 7464. There are 16 integers that are factors of 7464. The greatest factor of 7464 is 7464.

4. How to Find the LCM of 7458 and 7464?

Answer:

Least Common Multiple of 7458 and 7464 = 9277752

Step 1: Find the prime factorization of 7458

7458 = 2 x 3 x 11 x 113

Step 2: Find the prime factorization of 7464

7464 = 2 x 2 x 2 x 3 x 311

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

LCM = 9277752 = 2 x 2 x 2 x 3 x 11 x 113 x 311

Step 4: Therefore, the least common multiple of 7458 and 7464 is 9277752.