Least Common Multiple of 4704 and 4710

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 4710 the smallest integer that is 3692640 that is divisible by both numbers.

Least Common Multiple (LCM) of 4704 and 4710 is 3692640.

LCM(4704,4710) = 3692640

LCM of 4704 and 4710

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

LCM of:
and

Least Common Multiple of 4704 and 4710

LCM of 4704 and 4710 is 3692640

Least common multiple can be found by multiplying the highest exponent prime factors of 4704 and 4710. First we will calculate the prime factors of 4704 and 4710.

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 4710


2 4710
3 2355
5 785
157 157
1

Prime factors of 4710 are 2, 3, 5,157. Prime factorization of 4710 in exponential form is:

4710 = 21×31×51×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 4704 and 4710.

LCM(4704,4710) = 25×31×51×72×1571
LCM(4704,4710) = 3692640

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 4710

List of positive integer factors of 4710 that divides 4710 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 157, 314, 471, 785, 942, 1570, 2355, 4710

Least Common Multiple of 4704 and 4710 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 4710, than apply into the LCM equation.

GCF(4704,4710) = 6
LCM(4704,4710) = ( 4704 × 4710) / 6
LCM(4704,4710) = 22155840 / 6
LCM(4704,4710) = 3692640

Properties of LCM 4704 and 4710

(i) The LCM of 4710 and 4704 is associative

LCM of 4704 and 4710 = LCM of 4710 and 4704

Related Least Common Multiples of 4704

Related Least Common Multiples of 4710

Frequently Asked Questions on LCM of 4704 and 4710

1. What is the LCM of 4704 and 4710?

Answer: LCM of 4704 and 4710 is 3692640.

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 4710?

Answer: Factors of 4710 are 1, 2, 3, 5, 6, 10, 15, 30, 157, 314, 471, 785, 942, 1570, 2355, 4710. There are 16 integers that are factors of 4710. The greatest factor of 4710 is 4710.

4. How to Find the LCM of 4704 and 4710?

Answer:

Least Common Multiple of 4704 and 4710 = 3692640

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 4710

4710 = 2 x 3 x 5 x 157

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

LCM = 3692640 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 157

Step 4: Therefore, the least common multiple of 4704 and 4710 is 3692640.