Least Common Multiple of 4635 and 4639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4635 and 4639 the smallest integer that is 21501765 that is divisible by both numbers.

Least Common Multiple (LCM) of 4635 and 4639 is 21501765.

LCM(4635,4639) = 21501765

LCM of 4635 and 4639

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

LCM of:
and

Least Common Multiple of 4635 and 4639

LCM of 4635 and 4639 is 21501765

Least common multiple can be found by multiplying the highest exponent prime factors of 4635 and 4639. First we will calculate the prime factors of 4635 and 4639.

Prime Factorization of 4635


3 4635
3 1545
5 515
103 103
1

Prime factors of 4635 are 3, 5,103. Prime factorization of 4635 in exponential form is:

4635 = 32×51×1031

Prime Factorization of 4639


4639 4639
1

Prime factors of 4639 are 4639. Prime factorization of 4639 in exponential form is:

4639 = 46391

Now multiplying the highest exponent prime factors to calculate the LCM of 4635 and 4639.

LCM(4635,4639) = 32×51×1031×46391
LCM(4635,4639) = 21501765

Factors of 4635

List of positive integer factors of 4635 that divides 4635 without a remainder.

1, 3, 5, 9, 15, 45, 103, 309, 515, 927, 1545, 4635

Factors of 4639

List of positive integer factors of 4639 that divides 4639 without a remainder.

1, 4639

Least Common Multiple of 4635 and 4639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4635 and 4639, than apply into the LCM equation.

GCF(4635,4639) = 1
LCM(4635,4639) = ( 4635 × 4639) / 1
LCM(4635,4639) = 21501765 / 1
LCM(4635,4639) = 21501765

Properties of LCM 4635 and 4639

(i) The LCM of 4639 and 4635 is associative

LCM of 4635 and 4639 = LCM of 4639 and 4635

Related Least Common Multiples of 4635

Related Least Common Multiples of 4639

Frequently Asked Questions on LCM of 4635 and 4639

1. What is the LCM of 4635 and 4639?

Answer: LCM of 4635 and 4639 is 21501765.

2. What are the Factors of 4635?

Answer: Factors of 4635 are 1, 3, 5, 9, 15, 45, 103, 309, 515, 927, 1545, 4635. There are 12 integers that are factors of 4635. The greatest factor of 4635 is 4635.

3. What are the Factors of 4639?

Answer: Factors of 4639 are 1, 4639. There are 2 integers that are factors of 4639. The greatest factor of 4639 is 4639.

4. How to Find the LCM of 4635 and 4639?

Answer:

Least Common Multiple of 4635 and 4639 = 21501765

Step 1: Find the prime factorization of 4635

4635 = 3 x 3 x 5 x 103

Step 2: Find the prime factorization of 4639

4639 = 4639

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

LCM = 21501765 = 3 x 3 x 5 x 103 x 4639

Step 4: Therefore, the least common multiple of 4635 and 4639 is 21501765.