Least Common Multiple of 2564 and 2572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2564 and 2572 the smallest integer that is 1648652 that is divisible by both numbers.

Least Common Multiple (LCM) of 2564 and 2572 is 1648652.

LCM(2564,2572) = 1648652

LCM of 2564 and 2572

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

LCM of:
and

Least Common Multiple of 2564 and 2572

LCM of 2564 and 2572 is 1648652

Least common multiple can be found by multiplying the highest exponent prime factors of 2564 and 2572. First we will calculate the prime factors of 2564 and 2572.

Prime Factorization of 2564


2 2564
2 1282
641 641
1

Prime factors of 2564 are 2,641. Prime factorization of 2564 in exponential form is:

2564 = 22×6411

Prime Factorization of 2572


2 2572
2 1286
643 643
1

Prime factors of 2572 are 2,643. Prime factorization of 2572 in exponential form is:

2572 = 22×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 2564 and 2572.

LCM(2564,2572) = 22×6411×6431
LCM(2564,2572) = 1648652

Factors of 2564

List of positive integer factors of 2564 that divides 2564 without a remainder.

1, 2, 4, 641, 1282, 2564

Factors of 2572

List of positive integer factors of 2572 that divides 2572 without a remainder.

1, 2, 4, 643, 1286, 2572

Least Common Multiple of 2564 and 2572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2564 and 2572, than apply into the LCM equation.

GCF(2564,2572) = 4
LCM(2564,2572) = ( 2564 × 2572) / 4
LCM(2564,2572) = 6594608 / 4
LCM(2564,2572) = 1648652

Properties of LCM 2564 and 2572

(i) The LCM of 2572 and 2564 is associative

LCM of 2564 and 2572 = LCM of 2572 and 2564

Related Least Common Multiples of 2564

Related Least Common Multiples of 2572

Frequently Asked Questions on LCM of 2564 and 2572

1. What is the LCM of 2564 and 2572?

Answer: LCM of 2564 and 2572 is 1648652.

2. What are the Factors of 2564?

Answer: Factors of 2564 are 1, 2, 4, 641, 1282, 2564. There are 6 integers that are factors of 2564. The greatest factor of 2564 is 2564.

3. What are the Factors of 2572?

Answer: Factors of 2572 are 1, 2, 4, 643, 1286, 2572. There are 6 integers that are factors of 2572. The greatest factor of 2572 is 2572.

4. How to Find the LCM of 2564 and 2572?

Answer:

Least Common Multiple of 2564 and 2572 = 1648652

Step 1: Find the prime factorization of 2564

2564 = 2 x 2 x 641

Step 2: Find the prime factorization of 2572

2572 = 2 x 2 x 643

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

LCM = 1648652 = 2 x 2 x 641 x 643

Step 4: Therefore, the least common multiple of 2564 and 2572 is 1648652.