Least Common Multiple of 4410 and 4418

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 4418 the smallest integer that is 9741690 that is divisible by both numbers.

Least Common Multiple (LCM) of 4410 and 4418 is 9741690.

LCM(4410,4418) = 9741690

LCM of 4410 and 4418

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

LCM of:
and

Least Common Multiple of 4410 and 4418

LCM of 4410 and 4418 is 9741690

Least common multiple can be found by multiplying the highest exponent prime factors of 4410 and 4418. First we will calculate the prime factors of 4410 and 4418.

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 4418


2 4418
47 2209
47 47
1

Prime factors of 4418 are 2,47. Prime factorization of 4418 in exponential form is:

4418 = 21×472

Now multiplying the highest exponent prime factors to calculate the LCM of 4410 and 4418.

LCM(4410,4418) = 21×32×51×72×472
LCM(4410,4418) = 9741690

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 4418

List of positive integer factors of 4418 that divides 4418 without a remainder.

1, 2, 47, 94, 2209, 4418

Least Common Multiple of 4410 and 4418 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 4418, than apply into the LCM equation.

GCF(4410,4418) = 2
LCM(4410,4418) = ( 4410 × 4418) / 2
LCM(4410,4418) = 19483380 / 2
LCM(4410,4418) = 9741690

Properties of LCM 4410 and 4418

(i) The LCM of 4418 and 4410 is associative

LCM of 4410 and 4418 = LCM of 4418 and 4410

Related Least Common Multiples of 4410

Related Least Common Multiples of 4418

Frequently Asked Questions on LCM of 4410 and 4418

1. What is the LCM of 4410 and 4418?

Answer: LCM of 4410 and 4418 is 9741690.

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 4418?

Answer: Factors of 4418 are 1, 2, 47, 94, 2209, 4418. There are 6 integers that are factors of 4418. The greatest factor of 4418 is 4418.

4. How to Find the LCM of 4410 and 4418?

Answer:

Least Common Multiple of 4410 and 4418 = 9741690

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 4418

4418 = 2 x 47 x 47

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

LCM = 9741690 = 2 x 3 x 3 x 5 x 7 x 7 x 47 x 47

Step 4: Therefore, the least common multiple of 4410 and 4418 is 9741690.