Least Common Multiple of 4677 and 4678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4677 and 4678 the smallest integer that is 21879006 that is divisible by both numbers.

Least Common Multiple (LCM) of 4677 and 4678 is 21879006.

LCM(4677,4678) = 21879006

LCM of 4677 and 4678

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

LCM of:
and

Least Common Multiple of 4677 and 4678

LCM of 4677 and 4678 is 21879006

Least common multiple can be found by multiplying the highest exponent prime factors of 4677 and 4678. First we will calculate the prime factors of 4677 and 4678.

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

Prime Factorization of 4678


2 4678
2339 2339
1

Prime factors of 4678 are 2,2339. Prime factorization of 4678 in exponential form is:

4678 = 21×23391

Now multiplying the highest exponent prime factors to calculate the LCM of 4677 and 4678.

LCM(4677,4678) = 21×31×15591×23391
LCM(4677,4678) = 21879006

Factors of 4677

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

1, 3, 1559, 4677

Factors of 4678

List of positive integer factors of 4678 that divides 4678 without a remainder.

1, 2, 2339, 4678

Least Common Multiple of 4677 and 4678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4677 and 4678, than apply into the LCM equation.

GCF(4677,4678) = 1
LCM(4677,4678) = ( 4677 × 4678) / 1
LCM(4677,4678) = 21879006 / 1
LCM(4677,4678) = 21879006

Properties of LCM 4677 and 4678

(i) The LCM of 4678 and 4677 is associative

LCM of 4677 and 4678 = LCM of 4678 and 4677

Related Least Common Multiples of 4677

Related Least Common Multiples of 4678

Frequently Asked Questions on LCM of 4677 and 4678

1. What is the LCM of 4677 and 4678?

Answer: LCM of 4677 and 4678 is 21879006.

2. 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.

3. What are the Factors of 4678?

Answer: Factors of 4678 are 1, 2, 2339, 4678. There are 4 integers that are factors of 4678. The greatest factor of 4678 is 4678.

4. How to Find the LCM of 4677 and 4678?

Answer:

Least Common Multiple of 4677 and 4678 = 21879006

Step 1: Find the prime factorization of 4677

4677 = 3 x 1559

Step 2: Find the prime factorization of 4678

4678 = 2 x 2339

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

LCM = 21879006 = 2 x 3 x 1559 x 2339

Step 4: Therefore, the least common multiple of 4677 and 4678 is 21879006.