Least Common Multiple of 4978 and 4985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4978 and 4985 the smallest integer that is 24815330 that is divisible by both numbers.

Least Common Multiple (LCM) of 4978 and 4985 is 24815330.

LCM(4978,4985) = 24815330

LCM of 4978 and 4985

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

LCM of:
and

Least Common Multiple of 4978 and 4985

LCM of 4978 and 4985 is 24815330

Least common multiple can be found by multiplying the highest exponent prime factors of 4978 and 4985. First we will calculate the prime factors of 4978 and 4985.

Prime Factorization of 4978


2 4978
19 2489
131 131
1

Prime factors of 4978 are 2, 19,131. Prime factorization of 4978 in exponential form is:

4978 = 21×191×1311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4978 and 4985.

LCM(4978,4985) = 21×51×191×1311×9971
LCM(4978,4985) = 24815330

Factors of 4978

List of positive integer factors of 4978 that divides 4978 without a remainder.

1, 2, 19, 38, 131, 262, 2489, 4978

Factors of 4985

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

1, 5, 997, 4985

Least Common Multiple of 4978 and 4985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4978 and 4985, than apply into the LCM equation.

GCF(4978,4985) = 1
LCM(4978,4985) = ( 4978 × 4985) / 1
LCM(4978,4985) = 24815330 / 1
LCM(4978,4985) = 24815330

Properties of LCM 4978 and 4985

(i) The LCM of 4985 and 4978 is associative

LCM of 4978 and 4985 = LCM of 4985 and 4978

Related Least Common Multiples of 4978

Related Least Common Multiples of 4985

Frequently Asked Questions on LCM of 4978 and 4985

1. What is the LCM of 4978 and 4985?

Answer: LCM of 4978 and 4985 is 24815330.

2. What are the Factors of 4978?

Answer: Factors of 4978 are 1, 2, 19, 38, 131, 262, 2489, 4978. There are 8 integers that are factors of 4978. The greatest factor of 4978 is 4978.

3. 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.

4. How to Find the LCM of 4978 and 4985?

Answer:

Least Common Multiple of 4978 and 4985 = 24815330

Step 1: Find the prime factorization of 4978

4978 = 2 x 19 x 131

Step 2: Find the prime factorization of 4985

4985 = 5 x 997

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

LCM = 24815330 = 2 x 5 x 19 x 131 x 997

Step 4: Therefore, the least common multiple of 4978 and 4985 is 24815330.