Least Common Multiple of 4712 and 4715

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 4715 the smallest integer that is 22217080 that is divisible by both numbers.

Least Common Multiple (LCM) of 4712 and 4715 is 22217080.

LCM(4712,4715) = 22217080

LCM of 4712 and 4715

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

LCM of:
and

Least Common Multiple of 4712 and 4715

LCM of 4712 and 4715 is 22217080

Least common multiple can be found by multiplying the highest exponent prime factors of 4712 and 4715. First we will calculate the prime factors of 4712 and 4715.

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 4715


5 4715
23 943
41 41
1

Prime factors of 4715 are 5, 23,41. Prime factorization of 4715 in exponential form is:

4715 = 51×231×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4712 and 4715.

LCM(4712,4715) = 23×51×191×231×311×411
LCM(4712,4715) = 22217080

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 4715

List of positive integer factors of 4715 that divides 4715 without a remainder.

1, 5, 23, 41, 115, 205, 943, 4715

Least Common Multiple of 4712 and 4715 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 4715, than apply into the LCM equation.

GCF(4712,4715) = 1
LCM(4712,4715) = ( 4712 × 4715) / 1
LCM(4712,4715) = 22217080 / 1
LCM(4712,4715) = 22217080

Properties of LCM 4712 and 4715

(i) The LCM of 4715 and 4712 is associative

LCM of 4712 and 4715 = LCM of 4715 and 4712

Related Least Common Multiples of 4712

Related Least Common Multiples of 4715

Frequently Asked Questions on LCM of 4712 and 4715

1. What is the LCM of 4712 and 4715?

Answer: LCM of 4712 and 4715 is 22217080.

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 4715?

Answer: Factors of 4715 are 1, 5, 23, 41, 115, 205, 943, 4715. There are 8 integers that are factors of 4715. The greatest factor of 4715 is 4715.

4. How to Find the LCM of 4712 and 4715?

Answer:

Least Common Multiple of 4712 and 4715 = 22217080

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 4715

4715 = 5 x 23 x 41

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

LCM = 22217080 = 2 x 2 x 2 x 5 x 19 x 23 x 31 x 41

Step 4: Therefore, the least common multiple of 4712 and 4715 is 22217080.