Least Common Multiple of 7654 and 7658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7654 and 7658 the smallest integer that is 29307166 that is divisible by both numbers.

Least Common Multiple (LCM) of 7654 and 7658 is 29307166.

LCM(7654,7658) = 29307166

LCM of 7654 and 7658

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

LCM of:
and

Least Common Multiple of 7654 and 7658

LCM of 7654 and 7658 is 29307166

Least common multiple can be found by multiplying the highest exponent prime factors of 7654 and 7658. First we will calculate the prime factors of 7654 and 7658.

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

Prime Factorization of 7658


2 7658
7 3829
547 547
1

Prime factors of 7658 are 2, 7,547. Prime factorization of 7658 in exponential form is:

7658 = 21×71×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 7654 and 7658.

LCM(7654,7658) = 21×71×431×891×5471
LCM(7654,7658) = 29307166

Factors of 7654

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

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

Factors of 7658

List of positive integer factors of 7658 that divides 7658 without a remainder.

1, 2, 7, 14, 547, 1094, 3829, 7658

Least Common Multiple of 7654 and 7658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7654 and 7658, than apply into the LCM equation.

GCF(7654,7658) = 2
LCM(7654,7658) = ( 7654 × 7658) / 2
LCM(7654,7658) = 58614332 / 2
LCM(7654,7658) = 29307166

Properties of LCM 7654 and 7658

(i) The LCM of 7658 and 7654 is associative

LCM of 7654 and 7658 = LCM of 7658 and 7654

Related Least Common Multiples of 7654

Related Least Common Multiples of 7658

Frequently Asked Questions on LCM of 7654 and 7658

1. What is the LCM of 7654 and 7658?

Answer: LCM of 7654 and 7658 is 29307166.

2. 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.

3. What are the Factors of 7658?

Answer: Factors of 7658 are 1, 2, 7, 14, 547, 1094, 3829, 7658. There are 8 integers that are factors of 7658. The greatest factor of 7658 is 7658.

4. How to Find the LCM of 7654 and 7658?

Answer:

Least Common Multiple of 7654 and 7658 = 29307166

Step 1: Find the prime factorization of 7654

7654 = 2 x 43 x 89

Step 2: Find the prime factorization of 7658

7658 = 2 x 7 x 547

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

LCM = 29307166 = 2 x 7 x 43 x 89 x 547

Step 4: Therefore, the least common multiple of 7654 and 7658 is 29307166.