Least Common Multiple of 4460 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 4460 and 4464 the smallest integer that is 4977360 that is divisible by both numbers.

Least Common Multiple (LCM) of 4460 and 4464 is 4977360.

LCM(4460,4464) = 4977360

LCM of 4460 and 4464

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

LCM of:
and

Least Common Multiple of 4460 and 4464

LCM of 4460 and 4464 is 4977360

Least common multiple can be found by multiplying the highest exponent prime factors of 4460 and 4464. First we will calculate the prime factors of 4460 and 4464.

Prime Factorization of 4460


2 4460
2 2230
5 1115
223 223
1

Prime factors of 4460 are 2, 5,223. Prime factorization of 4460 in exponential form is:

4460 = 22×51×2231

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 4460 and 4464.

LCM(4460,4464) = 24×32×51×311×2231
LCM(4460,4464) = 4977360

Factors of 4460

List of positive integer factors of 4460 that divides 4460 without a remainder.

1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230, 4460

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 4460 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 4460 and 4464, than apply into the LCM equation.

GCF(4460,4464) = 4
LCM(4460,4464) = ( 4460 × 4464) / 4
LCM(4460,4464) = 19909440 / 4
LCM(4460,4464) = 4977360

Properties of LCM 4460 and 4464

(i) The LCM of 4464 and 4460 is associative

LCM of 4460 and 4464 = LCM of 4464 and 4460

Related Least Common Multiples of 4460

Related Least Common Multiples of 4464

Frequently Asked Questions on LCM of 4460 and 4464

1. What is the LCM of 4460 and 4464?

Answer: LCM of 4460 and 4464 is 4977360.

2. What are the Factors of 4460?

Answer: Factors of 4460 are 1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230, 4460. There are 12 integers that are factors of 4460. The greatest factor of 4460 is 4460.

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 4460 and 4464?

Answer:

Least Common Multiple of 4460 and 4464 = 4977360

Step 1: Find the prime factorization of 4460

4460 = 2 x 2 x 5 x 223

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 = 4977360 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 31 x 223

Step 4: Therefore, the least common multiple of 4460 and 4464 is 4977360.