Least Common Multiple of 7608 and 7610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7608 and 7610 the smallest integer that is 28948440 that is divisible by both numbers.

Least Common Multiple (LCM) of 7608 and 7610 is 28948440.

LCM(7608,7610) = 28948440

LCM of 7608 and 7610

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

LCM of:
and

Least Common Multiple of 7608 and 7610

LCM of 7608 and 7610 is 28948440

Least common multiple can be found by multiplying the highest exponent prime factors of 7608 and 7610. First we will calculate the prime factors of 7608 and 7610.

Prime Factorization of 7608


2 7608
2 3804
2 1902
3 951
317 317
1

Prime factors of 7608 are 2, 3,317. Prime factorization of 7608 in exponential form is:

7608 = 23×31×3171

Prime Factorization of 7610


2 7610
5 3805
761 761
1

Prime factors of 7610 are 2, 5,761. Prime factorization of 7610 in exponential form is:

7610 = 21×51×7611

Now multiplying the highest exponent prime factors to calculate the LCM of 7608 and 7610.

LCM(7608,7610) = 23×31×51×3171×7611
LCM(7608,7610) = 28948440

Factors of 7608

List of positive integer factors of 7608 that divides 7608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 317, 634, 951, 1268, 1902, 2536, 3804, 7608

Factors of 7610

List of positive integer factors of 7610 that divides 7610 without a remainder.

1, 2, 5, 10, 761, 1522, 3805, 7610

Least Common Multiple of 7608 and 7610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7608 and 7610, than apply into the LCM equation.

GCF(7608,7610) = 2
LCM(7608,7610) = ( 7608 × 7610) / 2
LCM(7608,7610) = 57896880 / 2
LCM(7608,7610) = 28948440

Properties of LCM 7608 and 7610

(i) The LCM of 7610 and 7608 is associative

LCM of 7608 and 7610 = LCM of 7610 and 7608

Related Least Common Multiples of 7608

Related Least Common Multiples of 7610

Frequently Asked Questions on LCM of 7608 and 7610

1. What is the LCM of 7608 and 7610?

Answer: LCM of 7608 and 7610 is 28948440.

2. What are the Factors of 7608?

Answer: Factors of 7608 are 1, 2, 3, 4, 6, 8, 12, 24, 317, 634, 951, 1268, 1902, 2536, 3804, 7608. There are 16 integers that are factors of 7608. The greatest factor of 7608 is 7608.

3. What are the Factors of 7610?

Answer: Factors of 7610 are 1, 2, 5, 10, 761, 1522, 3805, 7610. There are 8 integers that are factors of 7610. The greatest factor of 7610 is 7610.

4. How to Find the LCM of 7608 and 7610?

Answer:

Least Common Multiple of 7608 and 7610 = 28948440

Step 1: Find the prime factorization of 7608

7608 = 2 x 2 x 2 x 3 x 317

Step 2: Find the prime factorization of 7610

7610 = 2 x 5 x 761

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

LCM = 28948440 = 2 x 2 x 2 x 3 x 5 x 317 x 761

Step 4: Therefore, the least common multiple of 7608 and 7610 is 28948440.