Least Common Multiple of 4410 and 4415

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 4415 the smallest integer that is 3894030 that is divisible by both numbers.

Least Common Multiple (LCM) of 4410 and 4415 is 3894030.

LCM(4410,4415) = 3894030

LCM of 4410 and 4415

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

LCM of:
and

Least Common Multiple of 4410 and 4415

LCM of 4410 and 4415 is 3894030

Least common multiple can be found by multiplying the highest exponent prime factors of 4410 and 4415. First we will calculate the prime factors of 4410 and 4415.

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 4415


5 4415
883 883
1

Prime factors of 4415 are 5,883. Prime factorization of 4415 in exponential form is:

4415 = 51×8831

Now multiplying the highest exponent prime factors to calculate the LCM of 4410 and 4415.

LCM(4410,4415) = 21×32×51×72×8831
LCM(4410,4415) = 3894030

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 4415

List of positive integer factors of 4415 that divides 4415 without a remainder.

1, 5, 883, 4415

Least Common Multiple of 4410 and 4415 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 4415, than apply into the LCM equation.

GCF(4410,4415) = 5
LCM(4410,4415) = ( 4410 × 4415) / 5
LCM(4410,4415) = 19470150 / 5
LCM(4410,4415) = 3894030

Properties of LCM 4410 and 4415

(i) The LCM of 4415 and 4410 is associative

LCM of 4410 and 4415 = LCM of 4415 and 4410

Related Least Common Multiples of 4410

Related Least Common Multiples of 4415

Frequently Asked Questions on LCM of 4410 and 4415

1. What is the LCM of 4410 and 4415?

Answer: LCM of 4410 and 4415 is 3894030.

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 4415?

Answer: Factors of 4415 are 1, 5, 883, 4415. There are 4 integers that are factors of 4415. The greatest factor of 4415 is 4415.

4. How to Find the LCM of 4410 and 4415?

Answer:

Least Common Multiple of 4410 and 4415 = 3894030

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 4415

4415 = 5 x 883

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

LCM = 3894030 = 2 x 3 x 3 x 5 x 7 x 7 x 883

Step 4: Therefore, the least common multiple of 4410 and 4415 is 3894030.