Least Common Multiple of 7609 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 7609 and 7616 the smallest integer that is 8278592 that is divisible by both numbers.

Least Common Multiple (LCM) of 7609 and 7616 is 8278592.

LCM(7609,7616) = 8278592

LCM of 7609 and 7616

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

LCM of:
and

Least Common Multiple of 7609 and 7616

LCM of 7609 and 7616 is 8278592

Least common multiple can be found by multiplying the highest exponent prime factors of 7609 and 7616. First we will calculate the prime factors of 7609 and 7616.

Prime Factorization of 7609


7 7609
1087 1087
1

Prime factors of 7609 are 7,1087. Prime factorization of 7609 in exponential form is:

7609 = 71×10871

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 7609 and 7616.

LCM(7609,7616) = 26×71×171×10871
LCM(7609,7616) = 8278592

Factors of 7609

List of positive integer factors of 7609 that divides 7609 without a remainder.

1, 7, 1087, 7609

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 7609 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 7609 and 7616, than apply into the LCM equation.

GCF(7609,7616) = 7
LCM(7609,7616) = ( 7609 × 7616) / 7
LCM(7609,7616) = 57950144 / 7
LCM(7609,7616) = 8278592

Properties of LCM 7609 and 7616

(i) The LCM of 7616 and 7609 is associative

LCM of 7609 and 7616 = LCM of 7616 and 7609

Related Least Common Multiples of 7609

Related Least Common Multiples of 7616

Frequently Asked Questions on LCM of 7609 and 7616

1. What is the LCM of 7609 and 7616?

Answer: LCM of 7609 and 7616 is 8278592.

2. What are the Factors of 7609?

Answer: Factors of 7609 are 1, 7, 1087, 7609. There are 4 integers that are factors of 7609. The greatest factor of 7609 is 7609.

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 7609 and 7616?

Answer:

Least Common Multiple of 7609 and 7616 = 8278592

Step 1: Find the prime factorization of 7609

7609 = 7 x 1087

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 = 8278592 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 17 x 1087

Step 4: Therefore, the least common multiple of 7609 and 7616 is 8278592.