Least Common Multiple of 4665 and 4672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4665 and 4672 the smallest integer that is 21794880 that is divisible by both numbers.

Least Common Multiple (LCM) of 4665 and 4672 is 21794880.

LCM(4665,4672) = 21794880

LCM of 4665 and 4672

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

LCM of:
and

Least Common Multiple of 4665 and 4672

LCM of 4665 and 4672 is 21794880

Least common multiple can be found by multiplying the highest exponent prime factors of 4665 and 4672. First we will calculate the prime factors of 4665 and 4672.

Prime Factorization of 4665


3 4665
5 1555
311 311
1

Prime factors of 4665 are 3, 5,311. Prime factorization of 4665 in exponential form is:

4665 = 31×51×3111

Prime Factorization of 4672


2 4672
2 2336
2 1168
2 584
2 292
2 146
73 73
1

Prime factors of 4672 are 2,73. Prime factorization of 4672 in exponential form is:

4672 = 26×731

Now multiplying the highest exponent prime factors to calculate the LCM of 4665 and 4672.

LCM(4665,4672) = 26×31×51×731×3111
LCM(4665,4672) = 21794880

Factors of 4665

List of positive integer factors of 4665 that divides 4665 without a remainder.

1, 3, 5, 15, 311, 933, 1555, 4665

Factors of 4672

List of positive integer factors of 4672 that divides 4672 without a remainder.

1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672

Least Common Multiple of 4665 and 4672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4665 and 4672, than apply into the LCM equation.

GCF(4665,4672) = 1
LCM(4665,4672) = ( 4665 × 4672) / 1
LCM(4665,4672) = 21794880 / 1
LCM(4665,4672) = 21794880

Properties of LCM 4665 and 4672

(i) The LCM of 4672 and 4665 is associative

LCM of 4665 and 4672 = LCM of 4672 and 4665

Related Least Common Multiples of 4665

Related Least Common Multiples of 4672

Frequently Asked Questions on LCM of 4665 and 4672

1. What is the LCM of 4665 and 4672?

Answer: LCM of 4665 and 4672 is 21794880.

2. What are the Factors of 4665?

Answer: Factors of 4665 are 1, 3, 5, 15, 311, 933, 1555, 4665. There are 8 integers that are factors of 4665. The greatest factor of 4665 is 4665.

3. What are the Factors of 4672?

Answer: Factors of 4672 are 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672. There are 14 integers that are factors of 4672. The greatest factor of 4672 is 4672.

4. How to Find the LCM of 4665 and 4672?

Answer:

Least Common Multiple of 4665 and 4672 = 21794880

Step 1: Find the prime factorization of 4665

4665 = 3 x 5 x 311

Step 2: Find the prime factorization of 4672

4672 = 2 x 2 x 2 x 2 x 2 x 2 x 73

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

LCM = 21794880 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 73 x 311

Step 4: Therefore, the least common multiple of 4665 and 4672 is 21794880.