Least Common Multiple of 4714 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 4714 and 4715 the smallest integer that is 22226510 that is divisible by both numbers.

Least Common Multiple (LCM) of 4714 and 4715 is 22226510.

LCM(4714,4715) = 22226510

LCM of 4714 and 4715

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

LCM of:
and

Least Common Multiple of 4714 and 4715

LCM of 4714 and 4715 is 22226510

Least common multiple can be found by multiplying the highest exponent prime factors of 4714 and 4715. First we will calculate the prime factors of 4714 and 4715.

Prime Factorization of 4714


2 4714
2357 2357
1

Prime factors of 4714 are 2,2357. Prime factorization of 4714 in exponential form is:

4714 = 21×23571

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 4714 and 4715.

LCM(4714,4715) = 21×51×231×411×23571
LCM(4714,4715) = 22226510

Factors of 4714

List of positive integer factors of 4714 that divides 4714 without a remainder.

1, 2, 2357, 4714

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 4714 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 4714 and 4715, than apply into the LCM equation.

GCF(4714,4715) = 1
LCM(4714,4715) = ( 4714 × 4715) / 1
LCM(4714,4715) = 22226510 / 1
LCM(4714,4715) = 22226510

Properties of LCM 4714 and 4715

(i) The LCM of 4715 and 4714 is associative

LCM of 4714 and 4715 = LCM of 4715 and 4714

Related Least Common Multiples of 4714

Related Least Common Multiples of 4715

Frequently Asked Questions on LCM of 4714 and 4715

1. What is the LCM of 4714 and 4715?

Answer: LCM of 4714 and 4715 is 22226510.

2. What are the Factors of 4714?

Answer: Factors of 4714 are 1, 2, 2357, 4714. There are 4 integers that are factors of 4714. The greatest factor of 4714 is 4714.

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 4714 and 4715?

Answer:

Least Common Multiple of 4714 and 4715 = 22226510

Step 1: Find the prime factorization of 4714

4714 = 2 x 2357

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 = 22226510 = 2 x 5 x 23 x 41 x 2357

Step 4: Therefore, the least common multiple of 4714 and 4715 is 22226510.