Least Common Multiple of 7600 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 7600 and 7608 the smallest integer that is 7227600 that is divisible by both numbers.

Least Common Multiple (LCM) of 7600 and 7608 is 7227600.

LCM(7600,7608) = 7227600

LCM of 7600 and 7608

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

LCM of:
and

Least Common Multiple of 7600 and 7608

LCM of 7600 and 7608 is 7227600

Least common multiple can be found by multiplying the highest exponent prime factors of 7600 and 7608. First we will calculate the prime factors of 7600 and 7608.

Prime Factorization of 7600


2 7600
2 3800
2 1900
2 950
5 475
5 95
19 19
1

Prime factors of 7600 are 2, 5,19. Prime factorization of 7600 in exponential form is:

7600 = 24×52×191

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 7600 and 7608.

LCM(7600,7608) = 24×31×52×191×3171
LCM(7600,7608) = 7227600

Factors of 7600

List of positive integer factors of 7600 that divides 7600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 380, 400, 475, 760, 950, 1520, 1900, 3800, 7600

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 7600 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 7600 and 7608, than apply into the LCM equation.

GCF(7600,7608) = 8
LCM(7600,7608) = ( 7600 × 7608) / 8
LCM(7600,7608) = 57820800 / 8
LCM(7600,7608) = 7227600

Properties of LCM 7600 and 7608

(i) The LCM of 7608 and 7600 is associative

LCM of 7600 and 7608 = LCM of 7608 and 7600

Related Least Common Multiples of 7600

Related Least Common Multiples of 7608

Frequently Asked Questions on LCM of 7600 and 7608

1. What is the LCM of 7600 and 7608?

Answer: LCM of 7600 and 7608 is 7227600.

2. What are the Factors of 7600?

Answer: Factors of 7600 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 380, 400, 475, 760, 950, 1520, 1900, 3800, 7600. There are 30 integers that are factors of 7600. The greatest factor of 7600 is 7600.

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 7600 and 7608?

Answer:

Least Common Multiple of 7600 and 7608 = 7227600

Step 1: Find the prime factorization of 7600

7600 = 2 x 2 x 2 x 2 x 5 x 5 x 19

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 = 7227600 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 19 x 317

Step 4: Therefore, the least common multiple of 7600 and 7608 is 7227600.