Least Common Multiple of 4712 and 4717

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 4717 the smallest integer that is 22226504 that is divisible by both numbers.

Least Common Multiple (LCM) of 4712 and 4717 is 22226504.

LCM(4712,4717) = 22226504

LCM of 4712 and 4717

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

LCM of:
and

Least Common Multiple of 4712 and 4717

LCM of 4712 and 4717 is 22226504

Least common multiple can be found by multiplying the highest exponent prime factors of 4712 and 4717. First we will calculate the prime factors of 4712 and 4717.

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 4717


53 4717
89 89
1

Prime factors of 4717 are 53,89. Prime factorization of 4717 in exponential form is:

4717 = 531×891

Now multiplying the highest exponent prime factors to calculate the LCM of 4712 and 4717.

LCM(4712,4717) = 23×191×311×531×891
LCM(4712,4717) = 22226504

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 4717

List of positive integer factors of 4717 that divides 4717 without a remainder.

1, 53, 89, 4717

Least Common Multiple of 4712 and 4717 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 4717, than apply into the LCM equation.

GCF(4712,4717) = 1
LCM(4712,4717) = ( 4712 × 4717) / 1
LCM(4712,4717) = 22226504 / 1
LCM(4712,4717) = 22226504

Properties of LCM 4712 and 4717

(i) The LCM of 4717 and 4712 is associative

LCM of 4712 and 4717 = LCM of 4717 and 4712

Related Least Common Multiples of 4712

Related Least Common Multiples of 4717

Frequently Asked Questions on LCM of 4712 and 4717

1. What is the LCM of 4712 and 4717?

Answer: LCM of 4712 and 4717 is 22226504.

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 4717?

Answer: Factors of 4717 are 1, 53, 89, 4717. There are 4 integers that are factors of 4717. The greatest factor of 4717 is 4717.

4. How to Find the LCM of 4712 and 4717?

Answer:

Least Common Multiple of 4712 and 4717 = 22226504

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 4717

4717 = 53 x 89

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

LCM = 22226504 = 2 x 2 x 2 x 19 x 31 x 53 x 89

Step 4: Therefore, the least common multiple of 4712 and 4717 is 22226504.