Least Common Multiple of 4644 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 4644 and 4652 the smallest integer that is 5400972 that is divisible by both numbers.

Least Common Multiple (LCM) of 4644 and 4652 is 5400972.

LCM(4644,4652) = 5400972

LCM of 4644 and 4652

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

LCM of:
and

Least Common Multiple of 4644 and 4652

LCM of 4644 and 4652 is 5400972

Least common multiple can be found by multiplying the highest exponent prime factors of 4644 and 4652. First we will calculate the prime factors of 4644 and 4652.

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 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 4644 and 4652.

LCM(4644,4652) = 22×33×431×11631
LCM(4644,4652) = 5400972

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 4652

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

1, 2, 4, 1163, 2326, 4652

Least Common Multiple of 4644 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 4644 and 4652, than apply into the LCM equation.

GCF(4644,4652) = 4
LCM(4644,4652) = ( 4644 × 4652) / 4
LCM(4644,4652) = 21603888 / 4
LCM(4644,4652) = 5400972

Properties of LCM 4644 and 4652

(i) The LCM of 4652 and 4644 is associative

LCM of 4644 and 4652 = LCM of 4652 and 4644

Related Least Common Multiples of 4644

Related Least Common Multiples of 4652

Frequently Asked Questions on LCM of 4644 and 4652

1. What is the LCM of 4644 and 4652?

Answer: LCM of 4644 and 4652 is 5400972.

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 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 4644 and 4652?

Answer:

Least Common Multiple of 4644 and 4652 = 5400972

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 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 = 5400972 = 2 x 2 x 3 x 3 x 3 x 43 x 1163

Step 4: Therefore, the least common multiple of 4644 and 4652 is 5400972.