Least Common Multiple of 7632 and 7640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7632 and 7640 the smallest integer that is 7288560 that is divisible by both numbers.

Least Common Multiple (LCM) of 7632 and 7640 is 7288560.

LCM(7632,7640) = 7288560

LCM of 7632 and 7640

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

LCM of:
and

Least Common Multiple of 7632 and 7640

LCM of 7632 and 7640 is 7288560

Least common multiple can be found by multiplying the highest exponent prime factors of 7632 and 7640. First we will calculate the prime factors of 7632 and 7640.

Prime Factorization of 7632


2 7632
2 3816
2 1908
2 954
3 477
3 159
53 53
1

Prime factors of 7632 are 2, 3,53. Prime factorization of 7632 in exponential form is:

7632 = 24×32×531

Prime Factorization of 7640


2 7640
2 3820
2 1910
5 955
191 191
1

Prime factors of 7640 are 2, 5,191. Prime factorization of 7640 in exponential form is:

7640 = 23×51×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 7632 and 7640.

LCM(7632,7640) = 24×32×51×531×1911
LCM(7632,7640) = 7288560

Factors of 7632

List of positive integer factors of 7632 that divides 7632 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 53, 72, 106, 144, 159, 212, 318, 424, 477, 636, 848, 954, 1272, 1908, 2544, 3816, 7632

Factors of 7640

List of positive integer factors of 7640 that divides 7640 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640

Least Common Multiple of 7632 and 7640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7632 and 7640, than apply into the LCM equation.

GCF(7632,7640) = 8
LCM(7632,7640) = ( 7632 × 7640) / 8
LCM(7632,7640) = 58308480 / 8
LCM(7632,7640) = 7288560

Properties of LCM 7632 and 7640

(i) The LCM of 7640 and 7632 is associative

LCM of 7632 and 7640 = LCM of 7640 and 7632

Related Least Common Multiples of 7632

Related Least Common Multiples of 7640

Frequently Asked Questions on LCM of 7632 and 7640

1. What is the LCM of 7632 and 7640?

Answer: LCM of 7632 and 7640 is 7288560.

2. What are the Factors of 7632?

Answer: Factors of 7632 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 53, 72, 106, 144, 159, 212, 318, 424, 477, 636, 848, 954, 1272, 1908, 2544, 3816, 7632. There are 30 integers that are factors of 7632. The greatest factor of 7632 is 7632.

3. What are the Factors of 7640?

Answer: Factors of 7640 are 1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640. There are 16 integers that are factors of 7640. The greatest factor of 7640 is 7640.

4. How to Find the LCM of 7632 and 7640?

Answer:

Least Common Multiple of 7632 and 7640 = 7288560

Step 1: Find the prime factorization of 7632

7632 = 2 x 2 x 2 x 2 x 3 x 3 x 53

Step 2: Find the prime factorization of 7640

7640 = 2 x 2 x 2 x 5 x 191

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

LCM = 7288560 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 53 x 191

Step 4: Therefore, the least common multiple of 7632 and 7640 is 7288560.