Least Common Multiple of 4648 and 4652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4648 and 4652 the smallest integer that is 5405624 that is divisible by both numbers.

Least Common Multiple (LCM) of 4648 and 4652 is 5405624.

LCM(4648,4652) = 5405624

LCM of 4648 and 4652

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

LCM of:
and

Least Common Multiple of 4648 and 4652

LCM of 4648 and 4652 is 5405624

Least common multiple can be found by multiplying the highest exponent prime factors of 4648 and 4652. First we will calculate the prime factors of 4648 and 4652.

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

Prime Factorization of 4652


2 4652
2 2326
1163 1163
1

Prime factors of 4652 are 2,1163. Prime factorization of 4652 in exponential form is:

4652 = 22×11631

Now multiplying the highest exponent prime factors to calculate the LCM of 4648 and 4652.

LCM(4648,4652) = 23×71×831×11631
LCM(4648,4652) = 5405624

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

Factors of 4652

List of positive integer factors of 4652 that divides 4652 without a remainder.

1, 2, 4, 1163, 2326, 4652

Least Common Multiple of 4648 and 4652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4648 and 4652, than apply into the LCM equation.

GCF(4648,4652) = 4
LCM(4648,4652) = ( 4648 × 4652) / 4
LCM(4648,4652) = 21622496 / 4
LCM(4648,4652) = 5405624

Properties of LCM 4648 and 4652

(i) The LCM of 4652 and 4648 is associative

LCM of 4648 and 4652 = LCM of 4652 and 4648

Related Least Common Multiples of 4648

Related Least Common Multiples of 4652

Frequently Asked Questions on LCM of 4648 and 4652

1. What is the LCM of 4648 and 4652?

Answer: LCM of 4648 and 4652 is 5405624.

2. 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.

3. What are the Factors of 4652?

Answer: Factors of 4652 are 1, 2, 4, 1163, 2326, 4652. There are 6 integers that are factors of 4652. The greatest factor of 4652 is 4652.

4. How to Find the LCM of 4648 and 4652?

Answer:

Least Common Multiple of 4648 and 4652 = 5405624

Step 1: Find the prime factorization of 4648

4648 = 2 x 2 x 2 x 7 x 83

Step 2: Find the prime factorization of 4652

4652 = 2 x 2 x 1163

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

LCM = 5405624 = 2 x 2 x 2 x 7 x 83 x 1163

Step 4: Therefore, the least common multiple of 4648 and 4652 is 5405624.