Least Common Multiple of 4994 and 4995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4994 and 4995 the smallest integer that is 24945030 that is divisible by both numbers.

Least Common Multiple (LCM) of 4994 and 4995 is 24945030.

LCM(4994,4995) = 24945030

LCM of 4994 and 4995

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

LCM of:
and

Least Common Multiple of 4994 and 4995

LCM of 4994 and 4995 is 24945030

Least common multiple can be found by multiplying the highest exponent prime factors of 4994 and 4995. First we will calculate the prime factors of 4994 and 4995.

Prime Factorization of 4994


2 4994
11 2497
227 227
1

Prime factors of 4994 are 2, 11,227. Prime factorization of 4994 in exponential form is:

4994 = 21×111×2271

Prime Factorization of 4995


3 4995
3 1665
3 555
5 185
37 37
1

Prime factors of 4995 are 3, 5,37. Prime factorization of 4995 in exponential form is:

4995 = 33×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4994 and 4995.

LCM(4994,4995) = 21×33×51×111×371×2271
LCM(4994,4995) = 24945030

Factors of 4994

List of positive integer factors of 4994 that divides 4994 without a remainder.

1, 2, 11, 22, 227, 454, 2497, 4994

Factors of 4995

List of positive integer factors of 4995 that divides 4995 without a remainder.

1, 3, 5, 9, 15, 27, 37, 45, 111, 135, 185, 333, 555, 999, 1665, 4995

Least Common Multiple of 4994 and 4995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4994 and 4995, than apply into the LCM equation.

GCF(4994,4995) = 1
LCM(4994,4995) = ( 4994 × 4995) / 1
LCM(4994,4995) = 24945030 / 1
LCM(4994,4995) = 24945030

Properties of LCM 4994 and 4995

(i) The LCM of 4995 and 4994 is associative

LCM of 4994 and 4995 = LCM of 4995 and 4994

Related Least Common Multiples of 4994

Related Least Common Multiples of 4995

Frequently Asked Questions on LCM of 4994 and 4995

1. What is the LCM of 4994 and 4995?

Answer: LCM of 4994 and 4995 is 24945030.

2. What are the Factors of 4994?

Answer: Factors of 4994 are 1, 2, 11, 22, 227, 454, 2497, 4994. There are 8 integers that are factors of 4994. The greatest factor of 4994 is 4994.

3. What are the Factors of 4995?

Answer: Factors of 4995 are 1, 3, 5, 9, 15, 27, 37, 45, 111, 135, 185, 333, 555, 999, 1665, 4995. There are 16 integers that are factors of 4995. The greatest factor of 4995 is 4995.

4. How to Find the LCM of 4994 and 4995?

Answer:

Least Common Multiple of 4994 and 4995 = 24945030

Step 1: Find the prime factorization of 4994

4994 = 2 x 11 x 227

Step 2: Find the prime factorization of 4995

4995 = 3 x 3 x 3 x 5 x 37

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

LCM = 24945030 = 2 x 3 x 3 x 3 x 5 x 11 x 37 x 227

Step 4: Therefore, the least common multiple of 4994 and 4995 is 24945030.