Least Common Multiple of 7642 and 7649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7642 and 7649 the smallest integer that is 58453658 that is divisible by both numbers.

Least Common Multiple (LCM) of 7642 and 7649 is 58453658.

LCM(7642,7649) = 58453658

LCM of 7642 and 7649

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

LCM of:
and

Least Common Multiple of 7642 and 7649

LCM of 7642 and 7649 is 58453658

Least common multiple can be found by multiplying the highest exponent prime factors of 7642 and 7649. First we will calculate the prime factors of 7642 and 7649.

Prime Factorization of 7642


2 7642
3821 3821
1

Prime factors of 7642 are 2,3821. Prime factorization of 7642 in exponential form is:

7642 = 21×38211

Prime Factorization of 7649


7649 7649
1

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

7649 = 76491

Now multiplying the highest exponent prime factors to calculate the LCM of 7642 and 7649.

LCM(7642,7649) = 21×38211×76491
LCM(7642,7649) = 58453658

Factors of 7642

List of positive integer factors of 7642 that divides 7642 without a remainder.

1, 2, 3821, 7642

Factors of 7649

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

1, 7649

Least Common Multiple of 7642 and 7649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7642 and 7649, than apply into the LCM equation.

GCF(7642,7649) = 1
LCM(7642,7649) = ( 7642 × 7649) / 1
LCM(7642,7649) = 58453658 / 1
LCM(7642,7649) = 58453658

Properties of LCM 7642 and 7649

(i) The LCM of 7649 and 7642 is associative

LCM of 7642 and 7649 = LCM of 7649 and 7642

Related Least Common Multiples of 7642

Related Least Common Multiples of 7649

Frequently Asked Questions on LCM of 7642 and 7649

1. What is the LCM of 7642 and 7649?

Answer: LCM of 7642 and 7649 is 58453658.

2. What are the Factors of 7642?

Answer: Factors of 7642 are 1, 2, 3821, 7642. There are 4 integers that are factors of 7642. The greatest factor of 7642 is 7642.

3. 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.

4. How to Find the LCM of 7642 and 7649?

Answer:

Least Common Multiple of 7642 and 7649 = 58453658

Step 1: Find the prime factorization of 7642

7642 = 2 x 3821

Step 2: Find the prime factorization of 7649

7649 = 7649

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

LCM = 58453658 = 2 x 3821 x 7649

Step 4: Therefore, the least common multiple of 7642 and 7649 is 58453658.