Least Common Multiple of 7600 and 7606

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 7606 the smallest integer that is 28902800 that is divisible by both numbers.

Least Common Multiple (LCM) of 7600 and 7606 is 28902800.

LCM(7600,7606) = 28902800

LCM of 7600 and 7606

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

LCM of:
and

Least Common Multiple of 7600 and 7606

LCM of 7600 and 7606 is 28902800

Least common multiple can be found by multiplying the highest exponent prime factors of 7600 and 7606. First we will calculate the prime factors of 7600 and 7606.

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 7606


2 7606
3803 3803
1

Prime factors of 7606 are 2,3803. Prime factorization of 7606 in exponential form is:

7606 = 21×38031

Now multiplying the highest exponent prime factors to calculate the LCM of 7600 and 7606.

LCM(7600,7606) = 24×52×191×38031
LCM(7600,7606) = 28902800

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 7606

List of positive integer factors of 7606 that divides 7606 without a remainder.

1, 2, 3803, 7606

Least Common Multiple of 7600 and 7606 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 7606, than apply into the LCM equation.

GCF(7600,7606) = 2
LCM(7600,7606) = ( 7600 × 7606) / 2
LCM(7600,7606) = 57805600 / 2
LCM(7600,7606) = 28902800

Properties of LCM 7600 and 7606

(i) The LCM of 7606 and 7600 is associative

LCM of 7600 and 7606 = LCM of 7606 and 7600

Related Least Common Multiples of 7600

Related Least Common Multiples of 7606

Frequently Asked Questions on LCM of 7600 and 7606

1. What is the LCM of 7600 and 7606?

Answer: LCM of 7600 and 7606 is 28902800.

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 7606?

Answer: Factors of 7606 are 1, 2, 3803, 7606. There are 4 integers that are factors of 7606. The greatest factor of 7606 is 7606.

4. How to Find the LCM of 7600 and 7606?

Answer:

Least Common Multiple of 7600 and 7606 = 28902800

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 7606

7606 = 2 x 3803

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

LCM = 28902800 = 2 x 2 x 2 x 2 x 5 x 5 x 19 x 3803

Step 4: Therefore, the least common multiple of 7600 and 7606 is 28902800.