Least Common Multiple of 4570 and 4577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4570 and 4577 the smallest integer that is 20916890 that is divisible by both numbers.

Least Common Multiple (LCM) of 4570 and 4577 is 20916890.

LCM(4570,4577) = 20916890

LCM of 4570 and 4577

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

LCM of:
and

Least Common Multiple of 4570 and 4577

LCM of 4570 and 4577 is 20916890

Least common multiple can be found by multiplying the highest exponent prime factors of 4570 and 4577. First we will calculate the prime factors of 4570 and 4577.

Prime Factorization of 4570


2 4570
5 2285
457 457
1

Prime factors of 4570 are 2, 5,457. Prime factorization of 4570 in exponential form is:

4570 = 21×51×4571

Prime Factorization of 4577


23 4577
199 199
1

Prime factors of 4577 are 23,199. Prime factorization of 4577 in exponential form is:

4577 = 231×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 4570 and 4577.

LCM(4570,4577) = 21×51×231×1991×4571
LCM(4570,4577) = 20916890

Factors of 4570

List of positive integer factors of 4570 that divides 4570 without a remainder.

1, 2, 5, 10, 457, 914, 2285, 4570

Factors of 4577

List of positive integer factors of 4577 that divides 4577 without a remainder.

1, 23, 199, 4577

Least Common Multiple of 4570 and 4577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4570 and 4577, than apply into the LCM equation.

GCF(4570,4577) = 1
LCM(4570,4577) = ( 4570 × 4577) / 1
LCM(4570,4577) = 20916890 / 1
LCM(4570,4577) = 20916890

Properties of LCM 4570 and 4577

(i) The LCM of 4577 and 4570 is associative

LCM of 4570 and 4577 = LCM of 4577 and 4570

Related Least Common Multiples of 4570

Related Least Common Multiples of 4577

Frequently Asked Questions on LCM of 4570 and 4577

1. What is the LCM of 4570 and 4577?

Answer: LCM of 4570 and 4577 is 20916890.

2. What are the Factors of 4570?

Answer: Factors of 4570 are 1, 2, 5, 10, 457, 914, 2285, 4570. There are 8 integers that are factors of 4570. The greatest factor of 4570 is 4570.

3. What are the Factors of 4577?

Answer: Factors of 4577 are 1, 23, 199, 4577. There are 4 integers that are factors of 4577. The greatest factor of 4577 is 4577.

4. How to Find the LCM of 4570 and 4577?

Answer:

Least Common Multiple of 4570 and 4577 = 20916890

Step 1: Find the prime factorization of 4570

4570 = 2 x 5 x 457

Step 2: Find the prime factorization of 4577

4577 = 23 x 199

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

LCM = 20916890 = 2 x 5 x 23 x 199 x 457

Step 4: Therefore, the least common multiple of 4570 and 4577 is 20916890.