Least Common Multiple of 4671 and 4677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4671 and 4677 the smallest integer that is 7282089 that is divisible by both numbers.

Least Common Multiple (LCM) of 4671 and 4677 is 7282089.

LCM(4671,4677) = 7282089

LCM of 4671 and 4677

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

LCM of:
and

Least Common Multiple of 4671 and 4677

LCM of 4671 and 4677 is 7282089

Least common multiple can be found by multiplying the highest exponent prime factors of 4671 and 4677. First we will calculate the prime factors of 4671 and 4677.

Prime Factorization of 4671


3 4671
3 1557
3 519
173 173
1

Prime factors of 4671 are 3,173. Prime factorization of 4671 in exponential form is:

4671 = 33×1731

Prime Factorization of 4677


3 4677
1559 1559
1

Prime factors of 4677 are 3,1559. Prime factorization of 4677 in exponential form is:

4677 = 31×15591

Now multiplying the highest exponent prime factors to calculate the LCM of 4671 and 4677.

LCM(4671,4677) = 33×1731×15591
LCM(4671,4677) = 7282089

Factors of 4671

List of positive integer factors of 4671 that divides 4671 without a remainder.

1, 3, 9, 27, 173, 519, 1557, 4671

Factors of 4677

List of positive integer factors of 4677 that divides 4677 without a remainder.

1, 3, 1559, 4677

Least Common Multiple of 4671 and 4677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4671 and 4677, than apply into the LCM equation.

GCF(4671,4677) = 3
LCM(4671,4677) = ( 4671 × 4677) / 3
LCM(4671,4677) = 21846267 / 3
LCM(4671,4677) = 7282089

Properties of LCM 4671 and 4677

(i) The LCM of 4677 and 4671 is associative

LCM of 4671 and 4677 = LCM of 4677 and 4671

Related Least Common Multiples of 4671

Related Least Common Multiples of 4677

Frequently Asked Questions on LCM of 4671 and 4677

1. What is the LCM of 4671 and 4677?

Answer: LCM of 4671 and 4677 is 7282089.

2. What are the Factors of 4671?

Answer: Factors of 4671 are 1, 3, 9, 27, 173, 519, 1557, 4671. There are 8 integers that are factors of 4671. The greatest factor of 4671 is 4671.

3. What are the Factors of 4677?

Answer: Factors of 4677 are 1, 3, 1559, 4677. There are 4 integers that are factors of 4677. The greatest factor of 4677 is 4677.

4. How to Find the LCM of 4671 and 4677?

Answer:

Least Common Multiple of 4671 and 4677 = 7282089

Step 1: Find the prime factorization of 4671

4671 = 3 x 3 x 3 x 173

Step 2: Find the prime factorization of 4677

4677 = 3 x 1559

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

LCM = 7282089 = 3 x 3 x 3 x 173 x 1559

Step 4: Therefore, the least common multiple of 4671 and 4677 is 7282089.