Least Common Multiple of 7638 and 7642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7638 and 7642 the smallest integer that is 29184798 that is divisible by both numbers.

Least Common Multiple (LCM) of 7638 and 7642 is 29184798.

LCM(7638,7642) = 29184798

LCM of 7638 and 7642

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

LCM of:
and

Least Common Multiple of 7638 and 7642

LCM of 7638 and 7642 is 29184798

Least common multiple can be found by multiplying the highest exponent prime factors of 7638 and 7642. First we will calculate the prime factors of 7638 and 7642.

Prime Factorization of 7638


2 7638
3 3819
19 1273
67 67
1

Prime factors of 7638 are 2, 3, 19,67. Prime factorization of 7638 in exponential form is:

7638 = 21×31×191×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7638 and 7642.

LCM(7638,7642) = 21×31×191×671×38211
LCM(7638,7642) = 29184798

Factors of 7638

List of positive integer factors of 7638 that divides 7638 without a remainder.

1, 2, 3, 6, 19, 38, 57, 67, 114, 134, 201, 402, 1273, 2546, 3819, 7638

Factors of 7642

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

1, 2, 3821, 7642

Least Common Multiple of 7638 and 7642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7638 and 7642, than apply into the LCM equation.

GCF(7638,7642) = 2
LCM(7638,7642) = ( 7638 × 7642) / 2
LCM(7638,7642) = 58369596 / 2
LCM(7638,7642) = 29184798

Properties of LCM 7638 and 7642

(i) The LCM of 7642 and 7638 is associative

LCM of 7638 and 7642 = LCM of 7642 and 7638

Related Least Common Multiples of 7638

Related Least Common Multiples of 7642

Frequently Asked Questions on LCM of 7638 and 7642

1. What is the LCM of 7638 and 7642?

Answer: LCM of 7638 and 7642 is 29184798.

2. What are the Factors of 7638?

Answer: Factors of 7638 are 1, 2, 3, 6, 19, 38, 57, 67, 114, 134, 201, 402, 1273, 2546, 3819, 7638. There are 16 integers that are factors of 7638. The greatest factor of 7638 is 7638.

3. 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.

4. How to Find the LCM of 7638 and 7642?

Answer:

Least Common Multiple of 7638 and 7642 = 29184798

Step 1: Find the prime factorization of 7638

7638 = 2 x 3 x 19 x 67

Step 2: Find the prime factorization of 7642

7642 = 2 x 3821

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

LCM = 29184798 = 2 x 3 x 19 x 67 x 3821

Step 4: Therefore, the least common multiple of 7638 and 7642 is 29184798.