Least Common Multiple of 4668 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 4668 and 4672 the smallest integer that is 5452224 that is divisible by both numbers.

Least Common Multiple (LCM) of 4668 and 4672 is 5452224.

LCM(4668,4672) = 5452224

LCM of 4668 and 4672

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

LCM of:
and

Least Common Multiple of 4668 and 4672

LCM of 4668 and 4672 is 5452224

Least common multiple can be found by multiplying the highest exponent prime factors of 4668 and 4672. First we will calculate the prime factors of 4668 and 4672.

Prime Factorization of 4668


2 4668
2 2334
3 1167
389 389
1

Prime factors of 4668 are 2, 3,389. Prime factorization of 4668 in exponential form is:

4668 = 22×31×3891

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 4668 and 4672.

LCM(4668,4672) = 26×31×731×3891
LCM(4668,4672) = 5452224

Factors of 4668

List of positive integer factors of 4668 that divides 4668 without a remainder.

1, 2, 3, 4, 6, 12, 389, 778, 1167, 1556, 2334, 4668

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 4668 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 4668 and 4672, than apply into the LCM equation.

GCF(4668,4672) = 4
LCM(4668,4672) = ( 4668 × 4672) / 4
LCM(4668,4672) = 21808896 / 4
LCM(4668,4672) = 5452224

Properties of LCM 4668 and 4672

(i) The LCM of 4672 and 4668 is associative

LCM of 4668 and 4672 = LCM of 4672 and 4668

Related Least Common Multiples of 4668

Related Least Common Multiples of 4672

Frequently Asked Questions on LCM of 4668 and 4672

1. What is the LCM of 4668 and 4672?

Answer: LCM of 4668 and 4672 is 5452224.

2. What are the Factors of 4668?

Answer: Factors of 4668 are 1, 2, 3, 4, 6, 12, 389, 778, 1167, 1556, 2334, 4668. There are 12 integers that are factors of 4668. The greatest factor of 4668 is 4668.

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 4668 and 4672?

Answer:

Least Common Multiple of 4668 and 4672 = 5452224

Step 1: Find the prime factorization of 4668

4668 = 2 x 2 x 3 x 389

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 = 5452224 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 73 x 389

Step 4: Therefore, the least common multiple of 4668 and 4672 is 5452224.