Least Common Multiple of 7609 and 7617

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 7617 the smallest integer that is 57957753 that is divisible by both numbers.

Least Common Multiple (LCM) of 7609 and 7617 is 57957753.

LCM(7609,7617) = 57957753

LCM of 7609 and 7617

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

LCM of:
and

Least Common Multiple of 7609 and 7617

LCM of 7609 and 7617 is 57957753

Least common multiple can be found by multiplying the highest exponent prime factors of 7609 and 7617. First we will calculate the prime factors of 7609 and 7617.

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 7617


3 7617
2539 2539
1

Prime factors of 7617 are 3,2539. Prime factorization of 7617 in exponential form is:

7617 = 31×25391

Now multiplying the highest exponent prime factors to calculate the LCM of 7609 and 7617.

LCM(7609,7617) = 31×71×10871×25391
LCM(7609,7617) = 57957753

Factors of 7609

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

1, 7, 1087, 7609

Factors of 7617

List of positive integer factors of 7617 that divides 7617 without a remainder.

1, 3, 2539, 7617

Least Common Multiple of 7609 and 7617 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 7617, than apply into the LCM equation.

GCF(7609,7617) = 1
LCM(7609,7617) = ( 7609 × 7617) / 1
LCM(7609,7617) = 57957753 / 1
LCM(7609,7617) = 57957753

Properties of LCM 7609 and 7617

(i) The LCM of 7617 and 7609 is associative

LCM of 7609 and 7617 = LCM of 7617 and 7609

Related Least Common Multiples of 7609

Related Least Common Multiples of 7617

Frequently Asked Questions on LCM of 7609 and 7617

1. What is the LCM of 7609 and 7617?

Answer: LCM of 7609 and 7617 is 57957753.

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 7617?

Answer: Factors of 7617 are 1, 3, 2539, 7617. There are 4 integers that are factors of 7617. The greatest factor of 7617 is 7617.

4. How to Find the LCM of 7609 and 7617?

Answer:

Least Common Multiple of 7609 and 7617 = 57957753

Step 1: Find the prime factorization of 7609

7609 = 7 x 1087

Step 2: Find the prime factorization of 7617

7617 = 3 x 2539

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

LCM = 57957753 = 3 x 7 x 1087 x 2539

Step 4: Therefore, the least common multiple of 7609 and 7617 is 57957753.