Least Common Multiple of 4704 and 4712

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 4712 the smallest integer that is 2770656 that is divisible by both numbers.

Least Common Multiple (LCM) of 4704 and 4712 is 2770656.

LCM(4704,4712) = 2770656

LCM of 4704 and 4712

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

LCM of:
and

Least Common Multiple of 4704 and 4712

LCM of 4704 and 4712 is 2770656

Least common multiple can be found by multiplying the highest exponent prime factors of 4704 and 4712. First we will calculate the prime factors of 4704 and 4712.

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 4712


2 4712
2 2356
2 1178
19 589
31 31
1

Prime factors of 4712 are 2, 19,31. Prime factorization of 4712 in exponential form is:

4712 = 23×191×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4704 and 4712.

LCM(4704,4712) = 25×31×72×191×311
LCM(4704,4712) = 2770656

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 4712

List of positive integer factors of 4712 that divides 4712 without a remainder.

1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712

Least Common Multiple of 4704 and 4712 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 4712, than apply into the LCM equation.

GCF(4704,4712) = 8
LCM(4704,4712) = ( 4704 × 4712) / 8
LCM(4704,4712) = 22165248 / 8
LCM(4704,4712) = 2770656

Properties of LCM 4704 and 4712

(i) The LCM of 4712 and 4704 is associative

LCM of 4704 and 4712 = LCM of 4712 and 4704

Related Least Common Multiples of 4704

Related Least Common Multiples of 4712

Frequently Asked Questions on LCM of 4704 and 4712

1. What is the LCM of 4704 and 4712?

Answer: LCM of 4704 and 4712 is 2770656.

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 4712?

Answer: Factors of 4712 are 1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712. There are 16 integers that are factors of 4712. The greatest factor of 4712 is 4712.

4. How to Find the LCM of 4704 and 4712?

Answer:

Least Common Multiple of 4704 and 4712 = 2770656

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 4712

4712 = 2 x 2 x 2 x 19 x 31

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

LCM = 2770656 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 19 x 31

Step 4: Therefore, the least common multiple of 4704 and 4712 is 2770656.