Least Common Multiple of 7610 and 7616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7610 and 7616 the smallest integer that is 28978880 that is divisible by both numbers.

Least Common Multiple (LCM) of 7610 and 7616 is 28978880.

LCM(7610,7616) = 28978880

LCM of 7610 and 7616

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

LCM of:
and

Least Common Multiple of 7610 and 7616

LCM of 7610 and 7616 is 28978880

Least common multiple can be found by multiplying the highest exponent prime factors of 7610 and 7616. First we will calculate the prime factors of 7610 and 7616.

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

Prime Factorization of 7616


2 7616
2 3808
2 1904
2 952
2 476
2 238
7 119
17 17
1

Prime factors of 7616 are 2, 7,17. Prime factorization of 7616 in exponential form is:

7616 = 26×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 7610 and 7616.

LCM(7610,7616) = 26×51×71×171×7611
LCM(7610,7616) = 28978880

Factors of 7610

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

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

Factors of 7616

List of positive integer factors of 7616 that divides 7616 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 136, 224, 238, 272, 448, 476, 544, 952, 1088, 1904, 3808, 7616

Least Common Multiple of 7610 and 7616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7610 and 7616, than apply into the LCM equation.

GCF(7610,7616) = 2
LCM(7610,7616) = ( 7610 × 7616) / 2
LCM(7610,7616) = 57957760 / 2
LCM(7610,7616) = 28978880

Properties of LCM 7610 and 7616

(i) The LCM of 7616 and 7610 is associative

LCM of 7610 and 7616 = LCM of 7616 and 7610

Related Least Common Multiples of 7610

Related Least Common Multiples of 7616

Frequently Asked Questions on LCM of 7610 and 7616

1. What is the LCM of 7610 and 7616?

Answer: LCM of 7610 and 7616 is 28978880.

2. 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.

3. What are the Factors of 7616?

Answer: Factors of 7616 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 136, 224, 238, 272, 448, 476, 544, 952, 1088, 1904, 3808, 7616. There are 28 integers that are factors of 7616. The greatest factor of 7616 is 7616.

4. How to Find the LCM of 7610 and 7616?

Answer:

Least Common Multiple of 7610 and 7616 = 28978880

Step 1: Find the prime factorization of 7610

7610 = 2 x 5 x 761

Step 2: Find the prime factorization of 7616

7616 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 17

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

LCM = 28978880 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 17 x 761

Step 4: Therefore, the least common multiple of 7610 and 7616 is 28978880.