Least Common Multiple of 7628 and 7636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7628 and 7636 the smallest integer that is 14561852 that is divisible by both numbers.

Least Common Multiple (LCM) of 7628 and 7636 is 14561852.

LCM(7628,7636) = 14561852

LCM of 7628 and 7636

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

LCM of:
and

Least Common Multiple of 7628 and 7636

LCM of 7628 and 7636 is 14561852

Least common multiple can be found by multiplying the highest exponent prime factors of 7628 and 7636. First we will calculate the prime factors of 7628 and 7636.

Prime Factorization of 7628


2 7628
2 3814
1907 1907
1

Prime factors of 7628 are 2,1907. Prime factorization of 7628 in exponential form is:

7628 = 22×19071

Prime Factorization of 7636


2 7636
2 3818
23 1909
83 83
1

Prime factors of 7636 are 2, 23,83. Prime factorization of 7636 in exponential form is:

7636 = 22×231×831

Now multiplying the highest exponent prime factors to calculate the LCM of 7628 and 7636.

LCM(7628,7636) = 22×231×831×19071
LCM(7628,7636) = 14561852

Factors of 7628

List of positive integer factors of 7628 that divides 7628 without a remainder.

1, 2, 4, 1907, 3814, 7628

Factors of 7636

List of positive integer factors of 7636 that divides 7636 without a remainder.

1, 2, 4, 23, 46, 83, 92, 166, 332, 1909, 3818, 7636

Least Common Multiple of 7628 and 7636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7628 and 7636, than apply into the LCM equation.

GCF(7628,7636) = 4
LCM(7628,7636) = ( 7628 × 7636) / 4
LCM(7628,7636) = 58247408 / 4
LCM(7628,7636) = 14561852

Properties of LCM 7628 and 7636

(i) The LCM of 7636 and 7628 is associative

LCM of 7628 and 7636 = LCM of 7636 and 7628

Related Least Common Multiples of 7628

Related Least Common Multiples of 7636

Frequently Asked Questions on LCM of 7628 and 7636

1. What is the LCM of 7628 and 7636?

Answer: LCM of 7628 and 7636 is 14561852.

2. What are the Factors of 7628?

Answer: Factors of 7628 are 1, 2, 4, 1907, 3814, 7628. There are 6 integers that are factors of 7628. The greatest factor of 7628 is 7628.

3. What are the Factors of 7636?

Answer: Factors of 7636 are 1, 2, 4, 23, 46, 83, 92, 166, 332, 1909, 3818, 7636. There are 12 integers that are factors of 7636. The greatest factor of 7636 is 7636.

4. How to Find the LCM of 7628 and 7636?

Answer:

Least Common Multiple of 7628 and 7636 = 14561852

Step 1: Find the prime factorization of 7628

7628 = 2 x 2 x 1907

Step 2: Find the prime factorization of 7636

7636 = 2 x 2 x 23 x 83

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

LCM = 14561852 = 2 x 2 x 23 x 83 x 1907

Step 4: Therefore, the least common multiple of 7628 and 7636 is 14561852.