Least Common Multiple of 7648 and 7654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7648 and 7654 the smallest integer that is 29268896 that is divisible by both numbers.

Least Common Multiple (LCM) of 7648 and 7654 is 29268896.

LCM(7648,7654) = 29268896

LCM of 7648 and 7654

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

LCM of:
and

Least Common Multiple of 7648 and 7654

LCM of 7648 and 7654 is 29268896

Least common multiple can be found by multiplying the highest exponent prime factors of 7648 and 7654. First we will calculate the prime factors of 7648 and 7654.

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

Prime Factorization of 7654


2 7654
43 3827
89 89
1

Prime factors of 7654 are 2, 43,89. Prime factorization of 7654 in exponential form is:

7654 = 21×431×891

Now multiplying the highest exponent prime factors to calculate the LCM of 7648 and 7654.

LCM(7648,7654) = 25×431×891×2391
LCM(7648,7654) = 29268896

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

Factors of 7654

List of positive integer factors of 7654 that divides 7654 without a remainder.

1, 2, 43, 86, 89, 178, 3827, 7654

Least Common Multiple of 7648 and 7654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7648 and 7654, than apply into the LCM equation.

GCF(7648,7654) = 2
LCM(7648,7654) = ( 7648 × 7654) / 2
LCM(7648,7654) = 58537792 / 2
LCM(7648,7654) = 29268896

Properties of LCM 7648 and 7654

(i) The LCM of 7654 and 7648 is associative

LCM of 7648 and 7654 = LCM of 7654 and 7648

Related Least Common Multiples of 7648

Related Least Common Multiples of 7654

Frequently Asked Questions on LCM of 7648 and 7654

1. What is the LCM of 7648 and 7654?

Answer: LCM of 7648 and 7654 is 29268896.

2. 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.

3. What are the Factors of 7654?

Answer: Factors of 7654 are 1, 2, 43, 86, 89, 178, 3827, 7654. There are 8 integers that are factors of 7654. The greatest factor of 7654 is 7654.

4. How to Find the LCM of 7648 and 7654?

Answer:

Least Common Multiple of 7648 and 7654 = 29268896

Step 1: Find the prime factorization of 7648

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

Step 2: Find the prime factorization of 7654

7654 = 2 x 43 x 89

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

LCM = 29268896 = 2 x 2 x 2 x 2 x 2 x 43 x 89 x 239

Step 4: Therefore, the least common multiple of 7648 and 7654 is 29268896.