Least Common Multiple of 7608 and 7615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7608 and 7615 the smallest integer that is 57934920 that is divisible by both numbers.

Least Common Multiple (LCM) of 7608 and 7615 is 57934920.

LCM(7608,7615) = 57934920

LCM of 7608 and 7615

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

LCM of:
and

Least Common Multiple of 7608 and 7615

LCM of 7608 and 7615 is 57934920

Least common multiple can be found by multiplying the highest exponent prime factors of 7608 and 7615. First we will calculate the prime factors of 7608 and 7615.

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

Prime Factorization of 7615


5 7615
1523 1523
1

Prime factors of 7615 are 5,1523. Prime factorization of 7615 in exponential form is:

7615 = 51×15231

Now multiplying the highest exponent prime factors to calculate the LCM of 7608 and 7615.

LCM(7608,7615) = 23×31×51×3171×15231
LCM(7608,7615) = 57934920

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

Factors of 7615

List of positive integer factors of 7615 that divides 7615 without a remainder.

1, 5, 1523, 7615

Least Common Multiple of 7608 and 7615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7608 and 7615, than apply into the LCM equation.

GCF(7608,7615) = 1
LCM(7608,7615) = ( 7608 × 7615) / 1
LCM(7608,7615) = 57934920 / 1
LCM(7608,7615) = 57934920

Properties of LCM 7608 and 7615

(i) The LCM of 7615 and 7608 is associative

LCM of 7608 and 7615 = LCM of 7615 and 7608

Related Least Common Multiples of 7608

Related Least Common Multiples of 7615

Frequently Asked Questions on LCM of 7608 and 7615

1. What is the LCM of 7608 and 7615?

Answer: LCM of 7608 and 7615 is 57934920.

2. 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.

3. What are the Factors of 7615?

Answer: Factors of 7615 are 1, 5, 1523, 7615. There are 4 integers that are factors of 7615. The greatest factor of 7615 is 7615.

4. How to Find the LCM of 7608 and 7615?

Answer:

Least Common Multiple of 7608 and 7615 = 57934920

Step 1: Find the prime factorization of 7608

7608 = 2 x 2 x 2 x 3 x 317

Step 2: Find the prime factorization of 7615

7615 = 5 x 1523

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

LCM = 57934920 = 2 x 2 x 2 x 3 x 5 x 317 x 1523

Step 4: Therefore, the least common multiple of 7608 and 7615 is 57934920.