Least Common Multiple of 4704 and 4707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4704 and 4707 the smallest integer that is 7380576 that is divisible by both numbers.

Least Common Multiple (LCM) of 4704 and 4707 is 7380576.

LCM(4704,4707) = 7380576

LCM of 4704 and 4707

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

LCM of:
and

Least Common Multiple of 4704 and 4707

LCM of 4704 and 4707 is 7380576

Least common multiple can be found by multiplying the highest exponent prime factors of 4704 and 4707. First we will calculate the prime factors of 4704 and 4707.

Prime Factorization of 4704


2 4704
2 2352
2 1176
2 588
2 294
3 147
7 49
7 7
1

Prime factors of 4704 are 2, 3,7. Prime factorization of 4704 in exponential form is:

4704 = 25×31×72

Prime Factorization of 4707


3 4707
3 1569
523 523
1

Prime factors of 4707 are 3,523. Prime factorization of 4707 in exponential form is:

4707 = 32×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 4704 and 4707.

LCM(4704,4707) = 25×32×72×5231
LCM(4704,4707) = 7380576

Factors of 4704

List of positive integer factors of 4704 that divides 4704 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704

Factors of 4707

List of positive integer factors of 4707 that divides 4707 without a remainder.

1, 3, 9, 523, 1569, 4707

Least Common Multiple of 4704 and 4707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4704 and 4707, than apply into the LCM equation.

GCF(4704,4707) = 3
LCM(4704,4707) = ( 4704 × 4707) / 3
LCM(4704,4707) = 22141728 / 3
LCM(4704,4707) = 7380576

Properties of LCM 4704 and 4707

(i) The LCM of 4707 and 4704 is associative

LCM of 4704 and 4707 = LCM of 4707 and 4704

Related Least Common Multiples of 4704

Related Least Common Multiples of 4707

Frequently Asked Questions on LCM of 4704 and 4707

1. What is the LCM of 4704 and 4707?

Answer: LCM of 4704 and 4707 is 7380576.

2. What are the Factors of 4704?

Answer: Factors of 4704 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704. There are 36 integers that are factors of 4704. The greatest factor of 4704 is 4704.

3. What are the Factors of 4707?

Answer: Factors of 4707 are 1, 3, 9, 523, 1569, 4707. There are 6 integers that are factors of 4707. The greatest factor of 4707 is 4707.

4. How to Find the LCM of 4704 and 4707?

Answer:

Least Common Multiple of 4704 and 4707 = 7380576

Step 1: Find the prime factorization of 4704

4704 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7

Step 2: Find the prime factorization of 4707

4707 = 3 x 3 x 523

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

LCM = 7380576 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 523

Step 4: Therefore, the least common multiple of 4704 and 4707 is 7380576.