Least Common Multiple of 4975 and 4982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4975 and 4982 the smallest integer that is 24785450 that is divisible by both numbers.

Least Common Multiple (LCM) of 4975 and 4982 is 24785450.

LCM(4975,4982) = 24785450

LCM of 4975 and 4982

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

LCM of:
and

Least Common Multiple of 4975 and 4982

LCM of 4975 and 4982 is 24785450

Least common multiple can be found by multiplying the highest exponent prime factors of 4975 and 4982. First we will calculate the prime factors of 4975 and 4982.

Prime Factorization of 4975


5 4975
5 995
199 199
1

Prime factors of 4975 are 5,199. Prime factorization of 4975 in exponential form is:

4975 = 52×1991

Prime Factorization of 4982


2 4982
47 2491
53 53
1

Prime factors of 4982 are 2, 47,53. Prime factorization of 4982 in exponential form is:

4982 = 21×471×531

Now multiplying the highest exponent prime factors to calculate the LCM of 4975 and 4982.

LCM(4975,4982) = 21×52×471×531×1991
LCM(4975,4982) = 24785450

Factors of 4975

List of positive integer factors of 4975 that divides 4975 without a remainder.

1, 5, 25, 199, 995, 4975

Factors of 4982

List of positive integer factors of 4982 that divides 4982 without a remainder.

1, 2, 47, 53, 94, 106, 2491, 4982

Least Common Multiple of 4975 and 4982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4975 and 4982, than apply into the LCM equation.

GCF(4975,4982) = 1
LCM(4975,4982) = ( 4975 × 4982) / 1
LCM(4975,4982) = 24785450 / 1
LCM(4975,4982) = 24785450

Properties of LCM 4975 and 4982

(i) The LCM of 4982 and 4975 is associative

LCM of 4975 and 4982 = LCM of 4982 and 4975

Related Least Common Multiples of 4975

Related Least Common Multiples of 4982

Frequently Asked Questions on LCM of 4975 and 4982

1. What is the LCM of 4975 and 4982?

Answer: LCM of 4975 and 4982 is 24785450.

2. What are the Factors of 4975?

Answer: Factors of 4975 are 1, 5, 25, 199, 995, 4975. There are 6 integers that are factors of 4975. The greatest factor of 4975 is 4975.

3. What are the Factors of 4982?

Answer: Factors of 4982 are 1, 2, 47, 53, 94, 106, 2491, 4982. There are 8 integers that are factors of 4982. The greatest factor of 4982 is 4982.

4. How to Find the LCM of 4975 and 4982?

Answer:

Least Common Multiple of 4975 and 4982 = 24785450

Step 1: Find the prime factorization of 4975

4975 = 5 x 5 x 199

Step 2: Find the prime factorization of 4982

4982 = 2 x 47 x 53

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

LCM = 24785450 = 2 x 5 x 5 x 47 x 53 x 199

Step 4: Therefore, the least common multiple of 4975 and 4982 is 24785450.