Least Common Multiple of 4464 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 4464 and 4472 the smallest integer that is 2495376 that is divisible by both numbers.

Least Common Multiple (LCM) of 4464 and 4472 is 2495376.

LCM(4464,4472) = 2495376

LCM of 4464 and 4472

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

LCM of:
and

Least Common Multiple of 4464 and 4472

LCM of 4464 and 4472 is 2495376

Least common multiple can be found by multiplying the highest exponent prime factors of 4464 and 4472. First we will calculate the prime factors of 4464 and 4472.

Prime Factorization of 4464


2 4464
2 2232
2 1116
2 558
3 279
3 93
31 31
1

Prime factors of 4464 are 2, 3,31. Prime factorization of 4464 in exponential form is:

4464 = 24×32×311

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 4464 and 4472.

LCM(4464,4472) = 24×32×131×311×431
LCM(4464,4472) = 2495376

Factors of 4464

List of positive integer factors of 4464 that divides 4464 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232, 4464

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 4464 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 4464 and 4472, than apply into the LCM equation.

GCF(4464,4472) = 8
LCM(4464,4472) = ( 4464 × 4472) / 8
LCM(4464,4472) = 19963008 / 8
LCM(4464,4472) = 2495376

Properties of LCM 4464 and 4472

(i) The LCM of 4472 and 4464 is associative

LCM of 4464 and 4472 = LCM of 4472 and 4464

Related Least Common Multiples of 4464

Related Least Common Multiples of 4472

Frequently Asked Questions on LCM of 4464 and 4472

1. What is the LCM of 4464 and 4472?

Answer: LCM of 4464 and 4472 is 2495376.

2. What are the Factors of 4464?

Answer: Factors of 4464 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232, 4464. There are 30 integers that are factors of 4464. The greatest factor of 4464 is 4464.

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 4464 and 4472?

Answer:

Least Common Multiple of 4464 and 4472 = 2495376

Step 1: Find the prime factorization of 4464

4464 = 2 x 2 x 2 x 2 x 3 x 3 x 31

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 = 2495376 = 2 x 2 x 2 x 2 x 3 x 3 x 13 x 31 x 43

Step 4: Therefore, the least common multiple of 4464 and 4472 is 2495376.