Least Common Multiple of 7607 and 7608

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 7608 the smallest integer that is 57874056 that is divisible by both numbers.

Least Common Multiple (LCM) of 7607 and 7608 is 57874056.

LCM(7607,7608) = 57874056

LCM of 7607 and 7608

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

LCM of:
and

Least Common Multiple of 7607 and 7608

LCM of 7607 and 7608 is 57874056

Least common multiple can be found by multiplying the highest exponent prime factors of 7607 and 7608. First we will calculate the prime factors of 7607 and 7608.

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 7608


2 7608
2 3804
2 1902
3 951
317 317
1

Prime factors of 7608 are 2, 3,317. Prime factorization of 7608 in exponential form is:

7608 = 23×31×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 7607 and 7608.

LCM(7607,7608) = 23×31×3171×76071
LCM(7607,7608) = 57874056

Factors of 7607

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

1, 7607

Factors of 7608

List of positive integer factors of 7608 that divides 7608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 317, 634, 951, 1268, 1902, 2536, 3804, 7608

Least Common Multiple of 7607 and 7608 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 7608, than apply into the LCM equation.

GCF(7607,7608) = 1
LCM(7607,7608) = ( 7607 × 7608) / 1
LCM(7607,7608) = 57874056 / 1
LCM(7607,7608) = 57874056

Properties of LCM 7607 and 7608

(i) The LCM of 7608 and 7607 is associative

LCM of 7607 and 7608 = LCM of 7608 and 7607

Related Least Common Multiples of 7607

Related Least Common Multiples of 7608

Frequently Asked Questions on LCM of 7607 and 7608

1. What is the LCM of 7607 and 7608?

Answer: LCM of 7607 and 7608 is 57874056.

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 7608?

Answer: Factors of 7608 are 1, 2, 3, 4, 6, 8, 12, 24, 317, 634, 951, 1268, 1902, 2536, 3804, 7608. There are 16 integers that are factors of 7608. The greatest factor of 7608 is 7608.

4. How to Find the LCM of 7607 and 7608?

Answer:

Least Common Multiple of 7607 and 7608 = 57874056

Step 1: Find the prime factorization of 7607

7607 = 7607

Step 2: Find the prime factorization of 7608

7608 = 2 x 2 x 2 x 3 x 317

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

LCM = 57874056 = 2 x 2 x 2 x 3 x 317 x 7607

Step 4: Therefore, the least common multiple of 7607 and 7608 is 57874056.