Least Common Multiple of 4465 and 4472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4465 and 4472 the smallest integer that is 19967480 that is divisible by both numbers.

Least Common Multiple (LCM) of 4465 and 4472 is 19967480.

LCM(4465,4472) = 19967480

LCM of 4465 and 4472

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

LCM of:
and

Least Common Multiple of 4465 and 4472

LCM of 4465 and 4472 is 19967480

Least common multiple can be found by multiplying the highest exponent prime factors of 4465 and 4472. First we will calculate the prime factors of 4465 and 4472.

Prime Factorization of 4465


5 4465
19 893
47 47
1

Prime factors of 4465 are 5, 19,47. Prime factorization of 4465 in exponential form is:

4465 = 51×191×471

Prime Factorization of 4472


2 4472
2 2236
2 1118
13 559
43 43
1

Prime factors of 4472 are 2, 13,43. Prime factorization of 4472 in exponential form is:

4472 = 23×131×431

Now multiplying the highest exponent prime factors to calculate the LCM of 4465 and 4472.

LCM(4465,4472) = 23×51×131×191×431×471
LCM(4465,4472) = 19967480

Factors of 4465

List of positive integer factors of 4465 that divides 4465 without a remainder.

1, 5, 19, 47, 95, 235, 893, 4465

Factors of 4472

List of positive integer factors of 4472 that divides 4472 without a remainder.

1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236, 4472

Least Common Multiple of 4465 and 4472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4465 and 4472, than apply into the LCM equation.

GCF(4465,4472) = 1
LCM(4465,4472) = ( 4465 × 4472) / 1
LCM(4465,4472) = 19967480 / 1
LCM(4465,4472) = 19967480

Properties of LCM 4465 and 4472

(i) The LCM of 4472 and 4465 is associative

LCM of 4465 and 4472 = LCM of 4472 and 4465

Related Least Common Multiples of 4465

Related Least Common Multiples of 4472

Frequently Asked Questions on LCM of 4465 and 4472

1. What is the LCM of 4465 and 4472?

Answer: LCM of 4465 and 4472 is 19967480.

2. What are the Factors of 4465?

Answer: Factors of 4465 are 1, 5, 19, 47, 95, 235, 893, 4465. There are 8 integers that are factors of 4465. The greatest factor of 4465 is 4465.

3. What are the Factors of 4472?

Answer: Factors of 4472 are 1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236, 4472. There are 16 integers that are factors of 4472. The greatest factor of 4472 is 4472.

4. How to Find the LCM of 4465 and 4472?

Answer:

Least Common Multiple of 4465 and 4472 = 19967480

Step 1: Find the prime factorization of 4465

4465 = 5 x 19 x 47

Step 2: Find the prime factorization of 4472

4472 = 2 x 2 x 2 x 13 x 43

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

LCM = 19967480 = 2 x 2 x 2 x 5 x 13 x 19 x 43 x 47

Step 4: Therefore, the least common multiple of 4465 and 4472 is 19967480.