Least Common Multiple of 4644 and 4648

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 4648 the smallest integer that is 5396328 that is divisible by both numbers.

Least Common Multiple (LCM) of 4644 and 4648 is 5396328.

LCM(4644,4648) = 5396328

LCM of 4644 and 4648

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

LCM of:
and

Least Common Multiple of 4644 and 4648

LCM of 4644 and 4648 is 5396328

Least common multiple can be found by multiplying the highest exponent prime factors of 4644 and 4648. First we will calculate the prime factors of 4644 and 4648.

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 4648


2 4648
2 2324
2 1162
7 581
83 83
1

Prime factors of 4648 are 2, 7,83. Prime factorization of 4648 in exponential form is:

4648 = 23×71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 4644 and 4648.

LCM(4644,4648) = 23×33×71×431×831
LCM(4644,4648) = 5396328

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 4648

List of positive integer factors of 4648 that divides 4648 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324, 4648

Least Common Multiple of 4644 and 4648 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 4648, than apply into the LCM equation.

GCF(4644,4648) = 4
LCM(4644,4648) = ( 4644 × 4648) / 4
LCM(4644,4648) = 21585312 / 4
LCM(4644,4648) = 5396328

Properties of LCM 4644 and 4648

(i) The LCM of 4648 and 4644 is associative

LCM of 4644 and 4648 = LCM of 4648 and 4644

Related Least Common Multiples of 4644

Related Least Common Multiples of 4648

Frequently Asked Questions on LCM of 4644 and 4648

1. What is the LCM of 4644 and 4648?

Answer: LCM of 4644 and 4648 is 5396328.

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 4648?

Answer: Factors of 4648 are 1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324, 4648. There are 16 integers that are factors of 4648. The greatest factor of 4648 is 4648.

4. How to Find the LCM of 4644 and 4648?

Answer:

Least Common Multiple of 4644 and 4648 = 5396328

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 4648

4648 = 2 x 2 x 2 x 7 x 83

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

LCM = 5396328 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 43 x 83

Step 4: Therefore, the least common multiple of 4644 and 4648 is 5396328.