Least Common Multiple of 4459 and 4464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4459 and 4464 the smallest integer that is 19904976 that is divisible by both numbers.

Least Common Multiple (LCM) of 4459 and 4464 is 19904976.

LCM(4459,4464) = 19904976

LCM of 4459 and 4464

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

LCM of:
and

Least Common Multiple of 4459 and 4464

LCM of 4459 and 4464 is 19904976

Least common multiple can be found by multiplying the highest exponent prime factors of 4459 and 4464. First we will calculate the prime factors of 4459 and 4464.

Prime Factorization of 4459


7 4459
7 637
7 91
13 13
1

Prime factors of 4459 are 7,13. Prime factorization of 4459 in exponential form is:

4459 = 73×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4459 and 4464.

LCM(4459,4464) = 24×32×73×131×311
LCM(4459,4464) = 19904976

Factors of 4459

List of positive integer factors of 4459 that divides 4459 without a remainder.

1, 7, 13, 49, 91, 343, 637, 4459

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

Least Common Multiple of 4459 and 4464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4459 and 4464, than apply into the LCM equation.

GCF(4459,4464) = 1
LCM(4459,4464) = ( 4459 × 4464) / 1
LCM(4459,4464) = 19904976 / 1
LCM(4459,4464) = 19904976

Properties of LCM 4459 and 4464

(i) The LCM of 4464 and 4459 is associative

LCM of 4459 and 4464 = LCM of 4464 and 4459

Related Least Common Multiples of 4459

Related Least Common Multiples of 4464

Frequently Asked Questions on LCM of 4459 and 4464

1. What is the LCM of 4459 and 4464?

Answer: LCM of 4459 and 4464 is 19904976.

2. What are the Factors of 4459?

Answer: Factors of 4459 are 1, 7, 13, 49, 91, 343, 637, 4459. There are 8 integers that are factors of 4459. The greatest factor of 4459 is 4459.

3. 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.

4. How to Find the LCM of 4459 and 4464?

Answer:

Least Common Multiple of 4459 and 4464 = 19904976

Step 1: Find the prime factorization of 4459

4459 = 7 x 7 x 7 x 13

Step 2: Find the prime factorization of 4464

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

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

LCM = 19904976 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 7 x 13 x 31

Step 4: Therefore, the least common multiple of 4459 and 4464 is 19904976.