Least Common Multiple of 4635 and 4640

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 4640 the smallest integer that is 4301280 that is divisible by both numbers.

Least Common Multiple (LCM) of 4635 and 4640 is 4301280.

LCM(4635,4640) = 4301280

LCM of 4635 and 4640

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

LCM of:
and

Least Common Multiple of 4635 and 4640

LCM of 4635 and 4640 is 4301280

Least common multiple can be found by multiplying the highest exponent prime factors of 4635 and 4640. First we will calculate the prime factors of 4635 and 4640.

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 4640


2 4640
2 2320
2 1160
2 580
2 290
5 145
29 29
1

Prime factors of 4640 are 2, 5,29. Prime factorization of 4640 in exponential form is:

4640 = 25×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4635 and 4640.

LCM(4635,4640) = 25×32×51×291×1031
LCM(4635,4640) = 4301280

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 4640

List of positive integer factors of 4640 that divides 4640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320, 4640

Least Common Multiple of 4635 and 4640 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 4640, than apply into the LCM equation.

GCF(4635,4640) = 5
LCM(4635,4640) = ( 4635 × 4640) / 5
LCM(4635,4640) = 21506400 / 5
LCM(4635,4640) = 4301280

Properties of LCM 4635 and 4640

(i) The LCM of 4640 and 4635 is associative

LCM of 4635 and 4640 = LCM of 4640 and 4635

Related Least Common Multiples of 4635

Related Least Common Multiples of 4640

Frequently Asked Questions on LCM of 4635 and 4640

1. What is the LCM of 4635 and 4640?

Answer: LCM of 4635 and 4640 is 4301280.

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 4640?

Answer: Factors of 4640 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320, 4640. There are 24 integers that are factors of 4640. The greatest factor of 4640 is 4640.

4. How to Find the LCM of 4635 and 4640?

Answer:

Least Common Multiple of 4635 and 4640 = 4301280

Step 1: Find the prime factorization of 4635

4635 = 3 x 3 x 5 x 103

Step 2: Find the prime factorization of 4640

4640 = 2 x 2 x 2 x 2 x 2 x 5 x 29

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

LCM = 4301280 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 29 x 103

Step 4: Therefore, the least common multiple of 4635 and 4640 is 4301280.