Least Common Multiple of 7607 and 7609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7607 and 7609 the smallest integer that is 57881663 that is divisible by both numbers.

Least Common Multiple (LCM) of 7607 and 7609 is 57881663.

LCM(7607,7609) = 57881663

LCM of 7607 and 7609

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

LCM of:
and

Least Common Multiple of 7607 and 7609

LCM of 7607 and 7609 is 57881663

Least common multiple can be found by multiplying the highest exponent prime factors of 7607 and 7609. First we will calculate the prime factors of 7607 and 7609.

Prime Factorization of 7607


7607 7607
1

Prime factors of 7607 are 7607. Prime factorization of 7607 in exponential form is:

7607 = 76071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7607 and 7609.

LCM(7607,7609) = 71×10871×76071
LCM(7607,7609) = 57881663

Factors of 7607

List of positive integer factors of 7607 that divides 7607 without a remainder.

1, 7607

Factors of 7609

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

1, 7, 1087, 7609

Least Common Multiple of 7607 and 7609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7607 and 7609, than apply into the LCM equation.

GCF(7607,7609) = 1
LCM(7607,7609) = ( 7607 × 7609) / 1
LCM(7607,7609) = 57881663 / 1
LCM(7607,7609) = 57881663

Properties of LCM 7607 and 7609

(i) The LCM of 7609 and 7607 is associative

LCM of 7607 and 7609 = LCM of 7609 and 7607

Related Least Common Multiples of 7607

Related Least Common Multiples of 7609

Frequently Asked Questions on LCM of 7607 and 7609

1. What is the LCM of 7607 and 7609?

Answer: LCM of 7607 and 7609 is 57881663.

2. What are the Factors of 7607?

Answer: Factors of 7607 are 1, 7607. There are 2 integers that are factors of 7607. The greatest factor of 7607 is 7607.

3. 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.

4. How to Find the LCM of 7607 and 7609?

Answer:

Least Common Multiple of 7607 and 7609 = 57881663

Step 1: Find the prime factorization of 7607

7607 = 7607

Step 2: Find the prime factorization of 7609

7609 = 7 x 1087

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

LCM = 57881663 = 7 x 1087 x 7607

Step 4: Therefore, the least common multiple of 7607 and 7609 is 57881663.