Least Common Multiple of 4567 and 4572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4567 and 4572 the smallest integer that is 20880324 that is divisible by both numbers.

Least Common Multiple (LCM) of 4567 and 4572 is 20880324.

LCM(4567,4572) = 20880324

LCM of 4567 and 4572

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

LCM of:
and

Least Common Multiple of 4567 and 4572

LCM of 4567 and 4572 is 20880324

Least common multiple can be found by multiplying the highest exponent prime factors of 4567 and 4572. First we will calculate the prime factors of 4567 and 4572.

Prime Factorization of 4567


4567 4567
1

Prime factors of 4567 are 4567. Prime factorization of 4567 in exponential form is:

4567 = 45671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4567 and 4572.

LCM(4567,4572) = 22×32×1271×45671
LCM(4567,4572) = 20880324

Factors of 4567

List of positive integer factors of 4567 that divides 4567 without a remainder.

1, 4567

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

Least Common Multiple of 4567 and 4572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4567 and 4572, than apply into the LCM equation.

GCF(4567,4572) = 1
LCM(4567,4572) = ( 4567 × 4572) / 1
LCM(4567,4572) = 20880324 / 1
LCM(4567,4572) = 20880324

Properties of LCM 4567 and 4572

(i) The LCM of 4572 and 4567 is associative

LCM of 4567 and 4572 = LCM of 4572 and 4567

Related Least Common Multiples of 4567

Related Least Common Multiples of 4572

Frequently Asked Questions on LCM of 4567 and 4572

1. What is the LCM of 4567 and 4572?

Answer: LCM of 4567 and 4572 is 20880324.

2. What are the Factors of 4567?

Answer: Factors of 4567 are 1, 4567. There are 2 integers that are factors of 4567. The greatest factor of 4567 is 4567.

3. 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.

4. How to Find the LCM of 4567 and 4572?

Answer:

Least Common Multiple of 4567 and 4572 = 20880324

Step 1: Find the prime factorization of 4567

4567 = 4567

Step 2: Find the prime factorization of 4572

4572 = 2 x 2 x 3 x 3 x 127

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

LCM = 20880324 = 2 x 2 x 3 x 3 x 127 x 4567

Step 4: Therefore, the least common multiple of 4567 and 4572 is 20880324.