Least Common Multiple of 4638 and 4642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4638 and 4642 the smallest integer that is 10764798 that is divisible by both numbers.

Least Common Multiple (LCM) of 4638 and 4642 is 10764798.

LCM(4638,4642) = 10764798

LCM of 4638 and 4642

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

LCM of:
and

Least Common Multiple of 4638 and 4642

LCM of 4638 and 4642 is 10764798

Least common multiple can be found by multiplying the highest exponent prime factors of 4638 and 4642. First we will calculate the prime factors of 4638 and 4642.

Prime Factorization of 4638


2 4638
3 2319
773 773
1

Prime factors of 4638 are 2, 3,773. Prime factorization of 4638 in exponential form is:

4638 = 21×31×7731

Prime Factorization of 4642


2 4642
11 2321
211 211
1

Prime factors of 4642 are 2, 11,211. Prime factorization of 4642 in exponential form is:

4642 = 21×111×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 4638 and 4642.

LCM(4638,4642) = 21×31×111×2111×7731
LCM(4638,4642) = 10764798

Factors of 4638

List of positive integer factors of 4638 that divides 4638 without a remainder.

1, 2, 3, 6, 773, 1546, 2319, 4638

Factors of 4642

List of positive integer factors of 4642 that divides 4642 without a remainder.

1, 2, 11, 22, 211, 422, 2321, 4642

Least Common Multiple of 4638 and 4642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4638 and 4642, than apply into the LCM equation.

GCF(4638,4642) = 2
LCM(4638,4642) = ( 4638 × 4642) / 2
LCM(4638,4642) = 21529596 / 2
LCM(4638,4642) = 10764798

Properties of LCM 4638 and 4642

(i) The LCM of 4642 and 4638 is associative

LCM of 4638 and 4642 = LCM of 4642 and 4638

Related Least Common Multiples of 4638

Related Least Common Multiples of 4642

Frequently Asked Questions on LCM of 4638 and 4642

1. What is the LCM of 4638 and 4642?

Answer: LCM of 4638 and 4642 is 10764798.

2. What are the Factors of 4638?

Answer: Factors of 4638 are 1, 2, 3, 6, 773, 1546, 2319, 4638. There are 8 integers that are factors of 4638. The greatest factor of 4638 is 4638.

3. What are the Factors of 4642?

Answer: Factors of 4642 are 1, 2, 11, 22, 211, 422, 2321, 4642. There are 8 integers that are factors of 4642. The greatest factor of 4642 is 4642.

4. How to Find the LCM of 4638 and 4642?

Answer:

Least Common Multiple of 4638 and 4642 = 10764798

Step 1: Find the prime factorization of 4638

4638 = 2 x 3 x 773

Step 2: Find the prime factorization of 4642

4642 = 2 x 11 x 211

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

LCM = 10764798 = 2 x 3 x 11 x 211 x 773

Step 4: Therefore, the least common multiple of 4638 and 4642 is 10764798.