Least Common Multiple of 7630 and 7635

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 7635 the smallest integer that is 11651010 that is divisible by both numbers.

Least Common Multiple (LCM) of 7630 and 7635 is 11651010.

LCM(7630,7635) = 11651010

LCM of 7630 and 7635

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

LCM of:
and

Least Common Multiple of 7630 and 7635

LCM of 7630 and 7635 is 11651010

Least common multiple can be found by multiplying the highest exponent prime factors of 7630 and 7635. First we will calculate the prime factors of 7630 and 7635.

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 7635


3 7635
5 2545
509 509
1

Prime factors of 7635 are 3, 5,509. Prime factorization of 7635 in exponential form is:

7635 = 31×51×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 7630 and 7635.

LCM(7630,7635) = 21×31×51×71×1091×5091
LCM(7630,7635) = 11651010

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 7635

List of positive integer factors of 7635 that divides 7635 without a remainder.

1, 3, 5, 15, 509, 1527, 2545, 7635

Least Common Multiple of 7630 and 7635 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 7635, than apply into the LCM equation.

GCF(7630,7635) = 5
LCM(7630,7635) = ( 7630 × 7635) / 5
LCM(7630,7635) = 58255050 / 5
LCM(7630,7635) = 11651010

Properties of LCM 7630 and 7635

(i) The LCM of 7635 and 7630 is associative

LCM of 7630 and 7635 = LCM of 7635 and 7630

Related Least Common Multiples of 7630

Related Least Common Multiples of 7635

Frequently Asked Questions on LCM of 7630 and 7635

1. What is the LCM of 7630 and 7635?

Answer: LCM of 7630 and 7635 is 11651010.

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 7635?

Answer: Factors of 7635 are 1, 3, 5, 15, 509, 1527, 2545, 7635. There are 8 integers that are factors of 7635. The greatest factor of 7635 is 7635.

4. How to Find the LCM of 7630 and 7635?

Answer:

Least Common Multiple of 7630 and 7635 = 11651010

Step 1: Find the prime factorization of 7630

7630 = 2 x 5 x 7 x 109

Step 2: Find the prime factorization of 7635

7635 = 3 x 5 x 509

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

LCM = 11651010 = 2 x 3 x 5 x 7 x 109 x 509

Step 4: Therefore, the least common multiple of 7630 and 7635 is 11651010.