Least Common Multiple of 7611 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 7611 and 7616 the smallest integer that is 57965376 that is divisible by both numbers.

Least Common Multiple (LCM) of 7611 and 7616 is 57965376.

LCM(7611,7616) = 57965376

LCM of 7611 and 7616

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

LCM of:
and

Least Common Multiple of 7611 and 7616

LCM of 7611 and 7616 is 57965376

Least common multiple can be found by multiplying the highest exponent prime factors of 7611 and 7616. First we will calculate the prime factors of 7611 and 7616.

Prime Factorization of 7611


3 7611
43 2537
59 59
1

Prime factors of 7611 are 3, 43,59. Prime factorization of 7611 in exponential form is:

7611 = 31×431×591

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 7611 and 7616.

LCM(7611,7616) = 26×31×71×171×431×591
LCM(7611,7616) = 57965376

Factors of 7611

List of positive integer factors of 7611 that divides 7611 without a remainder.

1, 3, 43, 59, 129, 177, 2537, 7611

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 7611 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 7611 and 7616, than apply into the LCM equation.

GCF(7611,7616) = 1
LCM(7611,7616) = ( 7611 × 7616) / 1
LCM(7611,7616) = 57965376 / 1
LCM(7611,7616) = 57965376

Properties of LCM 7611 and 7616

(i) The LCM of 7616 and 7611 is associative

LCM of 7611 and 7616 = LCM of 7616 and 7611

Related Least Common Multiples of 7611

Related Least Common Multiples of 7616

Frequently Asked Questions on LCM of 7611 and 7616

1. What is the LCM of 7611 and 7616?

Answer: LCM of 7611 and 7616 is 57965376.

2. What are the Factors of 7611?

Answer: Factors of 7611 are 1, 3, 43, 59, 129, 177, 2537, 7611. There are 8 integers that are factors of 7611. The greatest factor of 7611 is 7611.

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 7611 and 7616?

Answer:

Least Common Multiple of 7611 and 7616 = 57965376

Step 1: Find the prime factorization of 7611

7611 = 3 x 43 x 59

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 = 57965376 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 17 x 43 x 59

Step 4: Therefore, the least common multiple of 7611 and 7616 is 57965376.