Least Common Multiple of 4455 and 4456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4455 and 4456 the smallest integer that is 19851480 that is divisible by both numbers.

Least Common Multiple (LCM) of 4455 and 4456 is 19851480.

LCM(4455,4456) = 19851480

LCM of 4455 and 4456

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

LCM of:
and

Least Common Multiple of 4455 and 4456

LCM of 4455 and 4456 is 19851480

Least common multiple can be found by multiplying the highest exponent prime factors of 4455 and 4456. First we will calculate the prime factors of 4455 and 4456.

Prime Factorization of 4455


3 4455
3 1485
3 495
3 165
5 55
11 11
1

Prime factors of 4455 are 3, 5,11. Prime factorization of 4455 in exponential form is:

4455 = 34×51×111

Prime Factorization of 4456


2 4456
2 2228
2 1114
557 557
1

Prime factors of 4456 are 2,557. Prime factorization of 4456 in exponential form is:

4456 = 23×5571

Now multiplying the highest exponent prime factors to calculate the LCM of 4455 and 4456.

LCM(4455,4456) = 23×34×51×111×5571
LCM(4455,4456) = 19851480

Factors of 4455

List of positive integer factors of 4455 that divides 4455 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 81, 99, 135, 165, 297, 405, 495, 891, 1485, 4455

Factors of 4456

List of positive integer factors of 4456 that divides 4456 without a remainder.

1, 2, 4, 8, 557, 1114, 2228, 4456

Least Common Multiple of 4455 and 4456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4455 and 4456, than apply into the LCM equation.

GCF(4455,4456) = 1
LCM(4455,4456) = ( 4455 × 4456) / 1
LCM(4455,4456) = 19851480 / 1
LCM(4455,4456) = 19851480

Properties of LCM 4455 and 4456

(i) The LCM of 4456 and 4455 is associative

LCM of 4455 and 4456 = LCM of 4456 and 4455

Related Least Common Multiples of 4455

Related Least Common Multiples of 4456

Frequently Asked Questions on LCM of 4455 and 4456

1. What is the LCM of 4455 and 4456?

Answer: LCM of 4455 and 4456 is 19851480.

2. What are the Factors of 4455?

Answer: Factors of 4455 are 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 81, 99, 135, 165, 297, 405, 495, 891, 1485, 4455. There are 20 integers that are factors of 4455. The greatest factor of 4455 is 4455.

3. What are the Factors of 4456?

Answer: Factors of 4456 are 1, 2, 4, 8, 557, 1114, 2228, 4456. There are 8 integers that are factors of 4456. The greatest factor of 4456 is 4456.

4. How to Find the LCM of 4455 and 4456?

Answer:

Least Common Multiple of 4455 and 4456 = 19851480

Step 1: Find the prime factorization of 4455

4455 = 3 x 3 x 3 x 3 x 5 x 11

Step 2: Find the prime factorization of 4456

4456 = 2 x 2 x 2 x 557

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

LCM = 19851480 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 11 x 557

Step 4: Therefore, the least common multiple of 4455 and 4456 is 19851480.