Least Common Multiple of 4410 and 4411

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 4411 the smallest integer that is 19452510 that is divisible by both numbers.

Least Common Multiple (LCM) of 4410 and 4411 is 19452510.

LCM(4410,4411) = 19452510

LCM of 4410 and 4411

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

LCM of:
and

Least Common Multiple of 4410 and 4411

LCM of 4410 and 4411 is 19452510

Least common multiple can be found by multiplying the highest exponent prime factors of 4410 and 4411. First we will calculate the prime factors of 4410 and 4411.

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 4411


11 4411
401 401
1

Prime factors of 4411 are 11,401. Prime factorization of 4411 in exponential form is:

4411 = 111×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 4410 and 4411.

LCM(4410,4411) = 21×32×51×72×111×4011
LCM(4410,4411) = 19452510

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 4411

List of positive integer factors of 4411 that divides 4411 without a remainder.

1, 11, 401, 4411

Least Common Multiple of 4410 and 4411 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 4411, than apply into the LCM equation.

GCF(4410,4411) = 1
LCM(4410,4411) = ( 4410 × 4411) / 1
LCM(4410,4411) = 19452510 / 1
LCM(4410,4411) = 19452510

Properties of LCM 4410 and 4411

(i) The LCM of 4411 and 4410 is associative

LCM of 4410 and 4411 = LCM of 4411 and 4410

Related Least Common Multiples of 4410

Related Least Common Multiples of 4411

Frequently Asked Questions on LCM of 4410 and 4411

1. What is the LCM of 4410 and 4411?

Answer: LCM of 4410 and 4411 is 19452510.

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 4411?

Answer: Factors of 4411 are 1, 11, 401, 4411. There are 4 integers that are factors of 4411. The greatest factor of 4411 is 4411.

4. How to Find the LCM of 4410 and 4411?

Answer:

Least Common Multiple of 4410 and 4411 = 19452510

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 4411

4411 = 11 x 401

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

LCM = 19452510 = 2 x 3 x 3 x 5 x 7 x 7 x 11 x 401

Step 4: Therefore, the least common multiple of 4410 and 4411 is 19452510.