Least Common Multiple of 4410 and 4413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4410 and 4413 the smallest integer that is 6487110 that is divisible by both numbers.

Least Common Multiple (LCM) of 4410 and 4413 is 6487110.

LCM(4410,4413) = 6487110

LCM of 4410 and 4413

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

LCM of:
and

Least Common Multiple of 4410 and 4413

LCM of 4410 and 4413 is 6487110

Least common multiple can be found by multiplying the highest exponent prime factors of 4410 and 4413. First we will calculate the prime factors of 4410 and 4413.

Prime Factorization of 4410


2 4410
3 2205
3 735
5 245
7 49
7 7
1

Prime factors of 4410 are 2, 3, 5,7. Prime factorization of 4410 in exponential form is:

4410 = 21×32×51×72

Prime Factorization of 4413


3 4413
1471 1471
1

Prime factors of 4413 are 3,1471. Prime factorization of 4413 in exponential form is:

4413 = 31×14711

Now multiplying the highest exponent prime factors to calculate the LCM of 4410 and 4413.

LCM(4410,4413) = 21×32×51×72×14711
LCM(4410,4413) = 6487110

Factors of 4410

List of positive integer factors of 4410 that divides 4410 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 49, 63, 70, 90, 98, 105, 126, 147, 210, 245, 294, 315, 441, 490, 630, 735, 882, 1470, 2205, 4410

Factors of 4413

List of positive integer factors of 4413 that divides 4413 without a remainder.

1, 3, 1471, 4413

Least Common Multiple of 4410 and 4413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4410 and 4413, than apply into the LCM equation.

GCF(4410,4413) = 3
LCM(4410,4413) = ( 4410 × 4413) / 3
LCM(4410,4413) = 19461330 / 3
LCM(4410,4413) = 6487110

Properties of LCM 4410 and 4413

(i) The LCM of 4413 and 4410 is associative

LCM of 4410 and 4413 = LCM of 4413 and 4410

Related Least Common Multiples of 4410

Related Least Common Multiples of 4413

Frequently Asked Questions on LCM of 4410 and 4413

1. What is the LCM of 4410 and 4413?

Answer: LCM of 4410 and 4413 is 6487110.

2. What are the Factors of 4410?

Answer: Factors of 4410 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 49, 63, 70, 90, 98, 105, 126, 147, 210, 245, 294, 315, 441, 490, 630, 735, 882, 1470, 2205, 4410. There are 36 integers that are factors of 4410. The greatest factor of 4410 is 4410.

3. What are the Factors of 4413?

Answer: Factors of 4413 are 1, 3, 1471, 4413. There are 4 integers that are factors of 4413. The greatest factor of 4413 is 4413.

4. How to Find the LCM of 4410 and 4413?

Answer:

Least Common Multiple of 4410 and 4413 = 6487110

Step 1: Find the prime factorization of 4410

4410 = 2 x 3 x 3 x 5 x 7 x 7

Step 2: Find the prime factorization of 4413

4413 = 3 x 1471

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

LCM = 6487110 = 2 x 3 x 3 x 5 x 7 x 7 x 1471

Step 4: Therefore, the least common multiple of 4410 and 4413 is 6487110.