Least Common Multiple of 7606 and 7610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7606 and 7610 the smallest integer that is 28940830 that is divisible by both numbers.

Least Common Multiple (LCM) of 7606 and 7610 is 28940830.

LCM(7606,7610) = 28940830

LCM of 7606 and 7610

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

LCM of:
and

Least Common Multiple of 7606 and 7610

LCM of 7606 and 7610 is 28940830

Least common multiple can be found by multiplying the highest exponent prime factors of 7606 and 7610. First we will calculate the prime factors of 7606 and 7610.

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

Prime Factorization of 7610


2 7610
5 3805
761 761
1

Prime factors of 7610 are 2, 5,761. Prime factorization of 7610 in exponential form is:

7610 = 21×51×7611

Now multiplying the highest exponent prime factors to calculate the LCM of 7606 and 7610.

LCM(7606,7610) = 21×51×7611×38031
LCM(7606,7610) = 28940830

Factors of 7606

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

1, 2, 3803, 7606

Factors of 7610

List of positive integer factors of 7610 that divides 7610 without a remainder.

1, 2, 5, 10, 761, 1522, 3805, 7610

Least Common Multiple of 7606 and 7610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7606 and 7610, than apply into the LCM equation.

GCF(7606,7610) = 2
LCM(7606,7610) = ( 7606 × 7610) / 2
LCM(7606,7610) = 57881660 / 2
LCM(7606,7610) = 28940830

Properties of LCM 7606 and 7610

(i) The LCM of 7610 and 7606 is associative

LCM of 7606 and 7610 = LCM of 7610 and 7606

Related Least Common Multiples of 7606

Related Least Common Multiples of 7610

Frequently Asked Questions on LCM of 7606 and 7610

1. What is the LCM of 7606 and 7610?

Answer: LCM of 7606 and 7610 is 28940830.

2. 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.

3. What are the Factors of 7610?

Answer: Factors of 7610 are 1, 2, 5, 10, 761, 1522, 3805, 7610. There are 8 integers that are factors of 7610. The greatest factor of 7610 is 7610.

4. How to Find the LCM of 7606 and 7610?

Answer:

Least Common Multiple of 7606 and 7610 = 28940830

Step 1: Find the prime factorization of 7606

7606 = 2 x 3803

Step 2: Find the prime factorization of 7610

7610 = 2 x 5 x 761

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

LCM = 28940830 = 2 x 5 x 761 x 3803

Step 4: Therefore, the least common multiple of 7606 and 7610 is 28940830.