Least Common Multiple of 4712 and 4718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4712 and 4718 the smallest integer that is 11115608 that is divisible by both numbers.

Least Common Multiple (LCM) of 4712 and 4718 is 11115608.

LCM(4712,4718) = 11115608

LCM of 4712 and 4718

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

LCM of:
and

Least Common Multiple of 4712 and 4718

LCM of 4712 and 4718 is 11115608

Least common multiple can be found by multiplying the highest exponent prime factors of 4712 and 4718. First we will calculate the prime factors of 4712 and 4718.

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

Prime Factorization of 4718


2 4718
7 2359
337 337
1

Prime factors of 4718 are 2, 7,337. Prime factorization of 4718 in exponential form is:

4718 = 21×71×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 4712 and 4718.

LCM(4712,4718) = 23×71×191×311×3371
LCM(4712,4718) = 11115608

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

Factors of 4718

List of positive integer factors of 4718 that divides 4718 without a remainder.

1, 2, 7, 14, 337, 674, 2359, 4718

Least Common Multiple of 4712 and 4718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4712 and 4718, than apply into the LCM equation.

GCF(4712,4718) = 2
LCM(4712,4718) = ( 4712 × 4718) / 2
LCM(4712,4718) = 22231216 / 2
LCM(4712,4718) = 11115608

Properties of LCM 4712 and 4718

(i) The LCM of 4718 and 4712 is associative

LCM of 4712 and 4718 = LCM of 4718 and 4712

Related Least Common Multiples of 4712

Related Least Common Multiples of 4718

Frequently Asked Questions on LCM of 4712 and 4718

1. What is the LCM of 4712 and 4718?

Answer: LCM of 4712 and 4718 is 11115608.

2. 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.

3. What are the Factors of 4718?

Answer: Factors of 4718 are 1, 2, 7, 14, 337, 674, 2359, 4718. There are 8 integers that are factors of 4718. The greatest factor of 4718 is 4718.

4. How to Find the LCM of 4712 and 4718?

Answer:

Least Common Multiple of 4712 and 4718 = 11115608

Step 1: Find the prime factorization of 4712

4712 = 2 x 2 x 2 x 19 x 31

Step 2: Find the prime factorization of 4718

4718 = 2 x 7 x 337

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

LCM = 11115608 = 2 x 2 x 2 x 7 x 19 x 31 x 337

Step 4: Therefore, the least common multiple of 4712 and 4718 is 11115608.