Least Common Multiple of 4668 and 4674

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 4674 the smallest integer that is 3636372 that is divisible by both numbers.

Least Common Multiple (LCM) of 4668 and 4674 is 3636372.

LCM(4668,4674) = 3636372

LCM of 4668 and 4674

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

LCM of:
and

Least Common Multiple of 4668 and 4674

LCM of 4668 and 4674 is 3636372

Least common multiple can be found by multiplying the highest exponent prime factors of 4668 and 4674. First we will calculate the prime factors of 4668 and 4674.

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 4674


2 4674
3 2337
19 779
41 41
1

Prime factors of 4674 are 2, 3, 19,41. Prime factorization of 4674 in exponential form is:

4674 = 21×31×191×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4668 and 4674.

LCM(4668,4674) = 22×31×191×411×3891
LCM(4668,4674) = 3636372

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 4674

List of positive integer factors of 4674 that divides 4674 without a remainder.

1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 779, 1558, 2337, 4674

Least Common Multiple of 4668 and 4674 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 4674, than apply into the LCM equation.

GCF(4668,4674) = 6
LCM(4668,4674) = ( 4668 × 4674) / 6
LCM(4668,4674) = 21818232 / 6
LCM(4668,4674) = 3636372

Properties of LCM 4668 and 4674

(i) The LCM of 4674 and 4668 is associative

LCM of 4668 and 4674 = LCM of 4674 and 4668

Related Least Common Multiples of 4668

Related Least Common Multiples of 4674

Frequently Asked Questions on LCM of 4668 and 4674

1. What is the LCM of 4668 and 4674?

Answer: LCM of 4668 and 4674 is 3636372.

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 4674?

Answer: Factors of 4674 are 1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 779, 1558, 2337, 4674. There are 16 integers that are factors of 4674. The greatest factor of 4674 is 4674.

4. How to Find the LCM of 4668 and 4674?

Answer:

Least Common Multiple of 4668 and 4674 = 3636372

Step 1: Find the prime factorization of 4668

4668 = 2 x 2 x 3 x 389

Step 2: Find the prime factorization of 4674

4674 = 2 x 3 x 19 x 41

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

LCM = 3636372 = 2 x 2 x 3 x 19 x 41 x 389

Step 4: Therefore, the least common multiple of 4668 and 4674 is 3636372.