Least Common Multiple of 4985 and 4991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4985 and 4991 the smallest integer that is 24880135 that is divisible by both numbers.

Least Common Multiple (LCM) of 4985 and 4991 is 24880135.

LCM(4985,4991) = 24880135

LCM of 4985 and 4991

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

LCM of:
and

Least Common Multiple of 4985 and 4991

LCM of 4985 and 4991 is 24880135

Least common multiple can be found by multiplying the highest exponent prime factors of 4985 and 4991. First we will calculate the prime factors of 4985 and 4991.

Prime Factorization of 4985


5 4985
997 997
1

Prime factors of 4985 are 5,997. Prime factorization of 4985 in exponential form is:

4985 = 51×9971

Prime Factorization of 4991


7 4991
23 713
31 31
1

Prime factors of 4991 are 7, 23,31. Prime factorization of 4991 in exponential form is:

4991 = 71×231×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4985 and 4991.

LCM(4985,4991) = 51×71×231×311×9971
LCM(4985,4991) = 24880135

Factors of 4985

List of positive integer factors of 4985 that divides 4985 without a remainder.

1, 5, 997, 4985

Factors of 4991

List of positive integer factors of 4991 that divides 4991 without a remainder.

1, 7, 23, 31, 161, 217, 713, 4991

Least Common Multiple of 4985 and 4991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4985 and 4991, than apply into the LCM equation.

GCF(4985,4991) = 1
LCM(4985,4991) = ( 4985 × 4991) / 1
LCM(4985,4991) = 24880135 / 1
LCM(4985,4991) = 24880135

Properties of LCM 4985 and 4991

(i) The LCM of 4991 and 4985 is associative

LCM of 4985 and 4991 = LCM of 4991 and 4985

Related Least Common Multiples of 4985

Related Least Common Multiples of 4991

Frequently Asked Questions on LCM of 4985 and 4991

1. What is the LCM of 4985 and 4991?

Answer: LCM of 4985 and 4991 is 24880135.

2. What are the Factors of 4985?

Answer: Factors of 4985 are 1, 5, 997, 4985. There are 4 integers that are factors of 4985. The greatest factor of 4985 is 4985.

3. What are the Factors of 4991?

Answer: Factors of 4991 are 1, 7, 23, 31, 161, 217, 713, 4991. There are 8 integers that are factors of 4991. The greatest factor of 4991 is 4991.

4. How to Find the LCM of 4985 and 4991?

Answer:

Least Common Multiple of 4985 and 4991 = 24880135

Step 1: Find the prime factorization of 4985

4985 = 5 x 997

Step 2: Find the prime factorization of 4991

4991 = 7 x 23 x 31

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

LCM = 24880135 = 5 x 7 x 23 x 31 x 997

Step 4: Therefore, the least common multiple of 4985 and 4991 is 24880135.