Least Common Multiple of 4572 and 4578

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 4578 the smallest integer that is 3488436 that is divisible by both numbers.

Least Common Multiple (LCM) of 4572 and 4578 is 3488436.

LCM(4572,4578) = 3488436

LCM of 4572 and 4578

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

LCM of:
and

Least Common Multiple of 4572 and 4578

LCM of 4572 and 4578 is 3488436

Least common multiple can be found by multiplying the highest exponent prime factors of 4572 and 4578. First we will calculate the prime factors of 4572 and 4578.

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 4578


2 4578
3 2289
7 763
109 109
1

Prime factors of 4578 are 2, 3, 7,109. Prime factorization of 4578 in exponential form is:

4578 = 21×31×71×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 4572 and 4578.

LCM(4572,4578) = 22×32×71×1091×1271
LCM(4572,4578) = 3488436

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 4578

List of positive integer factors of 4578 that divides 4578 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 109, 218, 327, 654, 763, 1526, 2289, 4578

Least Common Multiple of 4572 and 4578 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 4578, than apply into the LCM equation.

GCF(4572,4578) = 6
LCM(4572,4578) = ( 4572 × 4578) / 6
LCM(4572,4578) = 20930616 / 6
LCM(4572,4578) = 3488436

Properties of LCM 4572 and 4578

(i) The LCM of 4578 and 4572 is associative

LCM of 4572 and 4578 = LCM of 4578 and 4572

Related Least Common Multiples of 4572

Related Least Common Multiples of 4578

Frequently Asked Questions on LCM of 4572 and 4578

1. What is the LCM of 4572 and 4578?

Answer: LCM of 4572 and 4578 is 3488436.

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 4578?

Answer: Factors of 4578 are 1, 2, 3, 6, 7, 14, 21, 42, 109, 218, 327, 654, 763, 1526, 2289, 4578. There are 16 integers that are factors of 4578. The greatest factor of 4578 is 4578.

4. How to Find the LCM of 4572 and 4578?

Answer:

Least Common Multiple of 4572 and 4578 = 3488436

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 4578

4578 = 2 x 3 x 7 x 109

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

LCM = 3488436 = 2 x 2 x 3 x 3 x 7 x 109 x 127

Step 4: Therefore, the least common multiple of 4572 and 4578 is 3488436.