Least Common Multiple of 7630 and 7634

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 7634 the smallest integer that is 29123710 that is divisible by both numbers.

Least Common Multiple (LCM) of 7630 and 7634 is 29123710.

LCM(7630,7634) = 29123710

LCM of 7630 and 7634

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

LCM of:
and

Least Common Multiple of 7630 and 7634

LCM of 7630 and 7634 is 29123710

Least common multiple can be found by multiplying the highest exponent prime factors of 7630 and 7634. First we will calculate the prime factors of 7630 and 7634.

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 7634


2 7634
11 3817
347 347
1

Prime factors of 7634 are 2, 11,347. Prime factorization of 7634 in exponential form is:

7634 = 21×111×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 7630 and 7634.

LCM(7630,7634) = 21×51×71×111×1091×3471
LCM(7630,7634) = 29123710

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 7634

List of positive integer factors of 7634 that divides 7634 without a remainder.

1, 2, 11, 22, 347, 694, 3817, 7634

Least Common Multiple of 7630 and 7634 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 7634, than apply into the LCM equation.

GCF(7630,7634) = 2
LCM(7630,7634) = ( 7630 × 7634) / 2
LCM(7630,7634) = 58247420 / 2
LCM(7630,7634) = 29123710

Properties of LCM 7630 and 7634

(i) The LCM of 7634 and 7630 is associative

LCM of 7630 and 7634 = LCM of 7634 and 7630

Related Least Common Multiples of 7630

Related Least Common Multiples of 7634

Frequently Asked Questions on LCM of 7630 and 7634

1. What is the LCM of 7630 and 7634?

Answer: LCM of 7630 and 7634 is 29123710.

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 7634?

Answer: Factors of 7634 are 1, 2, 11, 22, 347, 694, 3817, 7634. There are 8 integers that are factors of 7634. The greatest factor of 7634 is 7634.

4. How to Find the LCM of 7630 and 7634?

Answer:

Least Common Multiple of 7630 and 7634 = 29123710

Step 1: Find the prime factorization of 7630

7630 = 2 x 5 x 7 x 109

Step 2: Find the prime factorization of 7634

7634 = 2 x 11 x 347

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

LCM = 29123710 = 2 x 5 x 7 x 11 x 109 x 347

Step 4: Therefore, the least common multiple of 7630 and 7634 is 29123710.