Least Common Multiple of 7608 and 7612

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 7612 the smallest integer that is 14478024 that is divisible by both numbers.

Least Common Multiple (LCM) of 7608 and 7612 is 14478024.

LCM(7608,7612) = 14478024

LCM of 7608 and 7612

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

LCM of:
and

Least Common Multiple of 7608 and 7612

LCM of 7608 and 7612 is 14478024

Least common multiple can be found by multiplying the highest exponent prime factors of 7608 and 7612. First we will calculate the prime factors of 7608 and 7612.

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 7612


2 7612
2 3806
11 1903
173 173
1

Prime factors of 7612 are 2, 11,173. Prime factorization of 7612 in exponential form is:

7612 = 22×111×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 7608 and 7612.

LCM(7608,7612) = 23×31×111×1731×3171
LCM(7608,7612) = 14478024

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 7612

List of positive integer factors of 7612 that divides 7612 without a remainder.

1, 2, 4, 11, 22, 44, 173, 346, 692, 1903, 3806, 7612

Least Common Multiple of 7608 and 7612 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 7612, than apply into the LCM equation.

GCF(7608,7612) = 4
LCM(7608,7612) = ( 7608 × 7612) / 4
LCM(7608,7612) = 57912096 / 4
LCM(7608,7612) = 14478024

Properties of LCM 7608 and 7612

(i) The LCM of 7612 and 7608 is associative

LCM of 7608 and 7612 = LCM of 7612 and 7608

Related Least Common Multiples of 7608

Related Least Common Multiples of 7612

Frequently Asked Questions on LCM of 7608 and 7612

1. What is the LCM of 7608 and 7612?

Answer: LCM of 7608 and 7612 is 14478024.

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 7612?

Answer: Factors of 7612 are 1, 2, 4, 11, 22, 44, 173, 346, 692, 1903, 3806, 7612. There are 12 integers that are factors of 7612. The greatest factor of 7612 is 7612.

4. How to Find the LCM of 7608 and 7612?

Answer:

Least Common Multiple of 7608 and 7612 = 14478024

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 7612

7612 = 2 x 2 x 11 x 173

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

LCM = 14478024 = 2 x 2 x 2 x 3 x 11 x 173 x 317

Step 4: Therefore, the least common multiple of 7608 and 7612 is 14478024.