Least Common Multiple of 4572 and 4579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4572 and 4579 the smallest integer that is 20935188 that is divisible by both numbers.

Least Common Multiple (LCM) of 4572 and 4579 is 20935188.

LCM(4572,4579) = 20935188

LCM of 4572 and 4579

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

LCM of:
and

Least Common Multiple of 4572 and 4579

LCM of 4572 and 4579 is 20935188

Least common multiple can be found by multiplying the highest exponent prime factors of 4572 and 4579. First we will calculate the prime factors of 4572 and 4579.

Prime Factorization of 4572


2 4572
2 2286
3 1143
3 381
127 127
1

Prime factors of 4572 are 2, 3,127. Prime factorization of 4572 in exponential form is:

4572 = 22×32×1271

Prime Factorization of 4579


19 4579
241 241
1

Prime factors of 4579 are 19,241. Prime factorization of 4579 in exponential form is:

4579 = 191×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 4572 and 4579.

LCM(4572,4579) = 22×32×191×1271×2411
LCM(4572,4579) = 20935188

Factors of 4572

List of positive integer factors of 4572 that divides 4572 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 127, 254, 381, 508, 762, 1143, 1524, 2286, 4572

Factors of 4579

List of positive integer factors of 4579 that divides 4579 without a remainder.

1, 19, 241, 4579

Least Common Multiple of 4572 and 4579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4572 and 4579, than apply into the LCM equation.

GCF(4572,4579) = 1
LCM(4572,4579) = ( 4572 × 4579) / 1
LCM(4572,4579) = 20935188 / 1
LCM(4572,4579) = 20935188

Properties of LCM 4572 and 4579

(i) The LCM of 4579 and 4572 is associative

LCM of 4572 and 4579 = LCM of 4579 and 4572

Related Least Common Multiples of 4572

Related Least Common Multiples of 4579

Frequently Asked Questions on LCM of 4572 and 4579

1. What is the LCM of 4572 and 4579?

Answer: LCM of 4572 and 4579 is 20935188.

2. What are the Factors of 4572?

Answer: Factors of 4572 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 127, 254, 381, 508, 762, 1143, 1524, 2286, 4572. There are 18 integers that are factors of 4572. The greatest factor of 4572 is 4572.

3. What are the Factors of 4579?

Answer: Factors of 4579 are 1, 19, 241, 4579. There are 4 integers that are factors of 4579. The greatest factor of 4579 is 4579.

4. How to Find the LCM of 4572 and 4579?

Answer:

Least Common Multiple of 4572 and 4579 = 20935188

Step 1: Find the prime factorization of 4572

4572 = 2 x 2 x 3 x 3 x 127

Step 2: Find the prime factorization of 4579

4579 = 19 x 241

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

LCM = 20935188 = 2 x 2 x 3 x 3 x 19 x 127 x 241

Step 4: Therefore, the least common multiple of 4572 and 4579 is 20935188.