Least Common Multiple of 7640 and 7648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7640 and 7648 the smallest integer that is 7303840 that is divisible by both numbers.

Least Common Multiple (LCM) of 7640 and 7648 is 7303840.

LCM(7640,7648) = 7303840

LCM of 7640 and 7648

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

LCM of:
and

Least Common Multiple of 7640 and 7648

LCM of 7640 and 7648 is 7303840

Least common multiple can be found by multiplying the highest exponent prime factors of 7640 and 7648. First we will calculate the prime factors of 7640 and 7648.

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

Prime Factorization of 7648


2 7648
2 3824
2 1912
2 956
2 478
239 239
1

Prime factors of 7648 are 2,239. Prime factorization of 7648 in exponential form is:

7648 = 25×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 7640 and 7648.

LCM(7640,7648) = 25×51×1911×2391
LCM(7640,7648) = 7303840

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

Factors of 7648

List of positive integer factors of 7648 that divides 7648 without a remainder.

1, 2, 4, 8, 16, 32, 239, 478, 956, 1912, 3824, 7648

Least Common Multiple of 7640 and 7648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7640 and 7648, than apply into the LCM equation.

GCF(7640,7648) = 8
LCM(7640,7648) = ( 7640 × 7648) / 8
LCM(7640,7648) = 58430720 / 8
LCM(7640,7648) = 7303840

Properties of LCM 7640 and 7648

(i) The LCM of 7648 and 7640 is associative

LCM of 7640 and 7648 = LCM of 7648 and 7640

Related Least Common Multiples of 7640

Related Least Common Multiples of 7648

Frequently Asked Questions on LCM of 7640 and 7648

1. What is the LCM of 7640 and 7648?

Answer: LCM of 7640 and 7648 is 7303840.

2. 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.

3. What are the Factors of 7648?

Answer: Factors of 7648 are 1, 2, 4, 8, 16, 32, 239, 478, 956, 1912, 3824, 7648. There are 12 integers that are factors of 7648. The greatest factor of 7648 is 7648.

4. How to Find the LCM of 7640 and 7648?

Answer:

Least Common Multiple of 7640 and 7648 = 7303840

Step 1: Find the prime factorization of 7640

7640 = 2 x 2 x 2 x 5 x 191

Step 2: Find the prime factorization of 7648

7648 = 2 x 2 x 2 x 2 x 2 x 239

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

LCM = 7303840 = 2 x 2 x 2 x 2 x 2 x 5 x 191 x 239

Step 4: Therefore, the least common multiple of 7640 and 7648 is 7303840.