Least Common Multiple of 4644 and 4649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4644 and 4649 the smallest integer that is 21589956 that is divisible by both numbers.

Least Common Multiple (LCM) of 4644 and 4649 is 21589956.

LCM(4644,4649) = 21589956

LCM of 4644 and 4649

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

LCM of:
and

Least Common Multiple of 4644 and 4649

LCM of 4644 and 4649 is 21589956

Least common multiple can be found by multiplying the highest exponent prime factors of 4644 and 4649. First we will calculate the prime factors of 4644 and 4649.

Prime Factorization of 4644


2 4644
2 2322
3 1161
3 387
3 129
43 43
1

Prime factors of 4644 are 2, 3,43. Prime factorization of 4644 in exponential form is:

4644 = 22×33×431

Prime Factorization of 4649


4649 4649
1

Prime factors of 4649 are 4649. Prime factorization of 4649 in exponential form is:

4649 = 46491

Now multiplying the highest exponent prime factors to calculate the LCM of 4644 and 4649.

LCM(4644,4649) = 22×33×431×46491
LCM(4644,4649) = 21589956

Factors of 4644

List of positive integer factors of 4644 that divides 4644 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 43, 54, 86, 108, 129, 172, 258, 387, 516, 774, 1161, 1548, 2322, 4644

Factors of 4649

List of positive integer factors of 4649 that divides 4649 without a remainder.

1, 4649

Least Common Multiple of 4644 and 4649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4644 and 4649, than apply into the LCM equation.

GCF(4644,4649) = 1
LCM(4644,4649) = ( 4644 × 4649) / 1
LCM(4644,4649) = 21589956 / 1
LCM(4644,4649) = 21589956

Properties of LCM 4644 and 4649

(i) The LCM of 4649 and 4644 is associative

LCM of 4644 and 4649 = LCM of 4649 and 4644

Related Least Common Multiples of 4644

Related Least Common Multiples of 4649

Frequently Asked Questions on LCM of 4644 and 4649

1. What is the LCM of 4644 and 4649?

Answer: LCM of 4644 and 4649 is 21589956.

2. What are the Factors of 4644?

Answer: Factors of 4644 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 43, 54, 86, 108, 129, 172, 258, 387, 516, 774, 1161, 1548, 2322, 4644. There are 24 integers that are factors of 4644. The greatest factor of 4644 is 4644.

3. What are the Factors of 4649?

Answer: Factors of 4649 are 1, 4649. There are 2 integers that are factors of 4649. The greatest factor of 4649 is 4649.

4. How to Find the LCM of 4644 and 4649?

Answer:

Least Common Multiple of 4644 and 4649 = 21589956

Step 1: Find the prime factorization of 4644

4644 = 2 x 2 x 3 x 3 x 3 x 43

Step 2: Find the prime factorization of 4649

4649 = 4649

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

LCM = 21589956 = 2 x 2 x 3 x 3 x 3 x 43 x 4649

Step 4: Therefore, the least common multiple of 4644 and 4649 is 21589956.