Least Common Multiple of 4638 and 4645

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 4645 the smallest integer that is 21543510 that is divisible by both numbers.

Least Common Multiple (LCM) of 4638 and 4645 is 21543510.

LCM(4638,4645) = 21543510

LCM of 4638 and 4645

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

LCM of:
and

Least Common Multiple of 4638 and 4645

LCM of 4638 and 4645 is 21543510

Least common multiple can be found by multiplying the highest exponent prime factors of 4638 and 4645. First we will calculate the prime factors of 4638 and 4645.

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 4645


5 4645
929 929
1

Prime factors of 4645 are 5,929. Prime factorization of 4645 in exponential form is:

4645 = 51×9291

Now multiplying the highest exponent prime factors to calculate the LCM of 4638 and 4645.

LCM(4638,4645) = 21×31×51×7731×9291
LCM(4638,4645) = 21543510

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 4645

List of positive integer factors of 4645 that divides 4645 without a remainder.

1, 5, 929, 4645

Least Common Multiple of 4638 and 4645 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 4645, than apply into the LCM equation.

GCF(4638,4645) = 1
LCM(4638,4645) = ( 4638 × 4645) / 1
LCM(4638,4645) = 21543510 / 1
LCM(4638,4645) = 21543510

Properties of LCM 4638 and 4645

(i) The LCM of 4645 and 4638 is associative

LCM of 4638 and 4645 = LCM of 4645 and 4638

Related Least Common Multiples of 4638

Related Least Common Multiples of 4645

Frequently Asked Questions on LCM of 4638 and 4645

1. What is the LCM of 4638 and 4645?

Answer: LCM of 4638 and 4645 is 21543510.

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 4645?

Answer: Factors of 4645 are 1, 5, 929, 4645. There are 4 integers that are factors of 4645. The greatest factor of 4645 is 4645.

4. How to Find the LCM of 4638 and 4645?

Answer:

Least Common Multiple of 4638 and 4645 = 21543510

Step 1: Find the prime factorization of 4638

4638 = 2 x 3 x 773

Step 2: Find the prime factorization of 4645

4645 = 5 x 929

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

LCM = 21543510 = 2 x 3 x 5 x 773 x 929

Step 4: Therefore, the least common multiple of 4638 and 4645 is 21543510.