Least Common Multiple of 7630 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 7630 and 7636 the smallest integer that is 29131340 that is divisible by both numbers.

Least Common Multiple (LCM) of 7630 and 7636 is 29131340.

LCM(7630,7636) = 29131340

LCM of 7630 and 7636

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

LCM of:
and

Least Common Multiple of 7630 and 7636

LCM of 7630 and 7636 is 29131340

Least common multiple can be found by multiplying the highest exponent prime factors of 7630 and 7636. First we will calculate the prime factors of 7630 and 7636.

Prime Factorization of 7630


2 7630
5 3815
7 763
109 109
1

Prime factors of 7630 are 2, 5, 7,109. Prime factorization of 7630 in exponential form is:

7630 = 21×51×71×1091

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 7630 and 7636.

LCM(7630,7636) = 22×51×71×231×831×1091
LCM(7630,7636) = 29131340

Factors of 7630

List of positive integer factors of 7630 that divides 7630 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 109, 218, 545, 763, 1090, 1526, 3815, 7630

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 7630 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 7630 and 7636, than apply into the LCM equation.

GCF(7630,7636) = 2
LCM(7630,7636) = ( 7630 × 7636) / 2
LCM(7630,7636) = 58262680 / 2
LCM(7630,7636) = 29131340

Properties of LCM 7630 and 7636

(i) The LCM of 7636 and 7630 is associative

LCM of 7630 and 7636 = LCM of 7636 and 7630

Frequently Asked Questions on LCM of 7630 and 7636

1. What is the LCM of 7630 and 7636?

Answer: LCM of 7630 and 7636 is 29131340.

2. What are the Factors of 7630?

Answer: Factors of 7630 are 1, 2, 5, 7, 10, 14, 35, 70, 109, 218, 545, 763, 1090, 1526, 3815, 7630. There are 16 integers that are factors of 7630. The greatest factor of 7630 is 7630.

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 7630 and 7636?

Answer:

Least Common Multiple of 7630 and 7636 = 29131340

Step 1: Find the prime factorization of 7630

7630 = 2 x 5 x 7 x 109

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 = 29131340 = 2 x 2 x 5 x 7 x 23 x 83 x 109

Step 4: Therefore, the least common multiple of 7630 and 7636 is 29131340.