Least Common Multiple of 7649 and 7656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7649 and 7656 the smallest integer that is 58560744 that is divisible by both numbers.

Least Common Multiple (LCM) of 7649 and 7656 is 58560744.

LCM(7649,7656) = 58560744

LCM of 7649 and 7656

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

LCM of:
and

Least Common Multiple of 7649 and 7656

LCM of 7649 and 7656 is 58560744

Least common multiple can be found by multiplying the highest exponent prime factors of 7649 and 7656. First we will calculate the prime factors of 7649 and 7656.

Prime Factorization of 7649


7649 7649
1

Prime factors of 7649 are 7649. Prime factorization of 7649 in exponential form is:

7649 = 76491

Prime Factorization of 7656


2 7656
2 3828
2 1914
3 957
11 319
29 29
1

Prime factors of 7656 are 2, 3, 11,29. Prime factorization of 7656 in exponential form is:

7656 = 23×31×111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 7649 and 7656.

LCM(7649,7656) = 23×31×111×291×76491
LCM(7649,7656) = 58560744

Factors of 7649

List of positive integer factors of 7649 that divides 7649 without a remainder.

1, 7649

Factors of 7656

List of positive integer factors of 7656 that divides 7656 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 29, 33, 44, 58, 66, 87, 88, 116, 132, 174, 232, 264, 319, 348, 638, 696, 957, 1276, 1914, 2552, 3828, 7656

Least Common Multiple of 7649 and 7656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7649 and 7656, than apply into the LCM equation.

GCF(7649,7656) = 1
LCM(7649,7656) = ( 7649 × 7656) / 1
LCM(7649,7656) = 58560744 / 1
LCM(7649,7656) = 58560744

Properties of LCM 7649 and 7656

(i) The LCM of 7656 and 7649 is associative

LCM of 7649 and 7656 = LCM of 7656 and 7649

Related Least Common Multiples of 7649

Related Least Common Multiples of 7656

Frequently Asked Questions on LCM of 7649 and 7656

1. What is the LCM of 7649 and 7656?

Answer: LCM of 7649 and 7656 is 58560744.

2. What are the Factors of 7649?

Answer: Factors of 7649 are 1, 7649. There are 2 integers that are factors of 7649. The greatest factor of 7649 is 7649.

3. What are the Factors of 7656?

Answer: Factors of 7656 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 29, 33, 44, 58, 66, 87, 88, 116, 132, 174, 232, 264, 319, 348, 638, 696, 957, 1276, 1914, 2552, 3828, 7656. There are 32 integers that are factors of 7656. The greatest factor of 7656 is 7656.

4. How to Find the LCM of 7649 and 7656?

Answer:

Least Common Multiple of 7649 and 7656 = 58560744

Step 1: Find the prime factorization of 7649

7649 = 7649

Step 2: Find the prime factorization of 7656

7656 = 2 x 2 x 2 x 3 x 11 x 29

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

LCM = 58560744 = 2 x 2 x 2 x 3 x 11 x 29 x 7649

Step 4: Therefore, the least common multiple of 7649 and 7656 is 58560744.