Least Common Multiple of 4985 and 4992

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 4992 the smallest integer that is 24885120 that is divisible by both numbers.

Least Common Multiple (LCM) of 4985 and 4992 is 24885120.

LCM(4985,4992) = 24885120

LCM of 4985 and 4992

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

LCM of:
and

Least Common Multiple of 4985 and 4992

LCM of 4985 and 4992 is 24885120

Least common multiple can be found by multiplying the highest exponent prime factors of 4985 and 4992. First we will calculate the prime factors of 4985 and 4992.

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 4992


2 4992
2 2496
2 1248
2 624
2 312
2 156
2 78
3 39
13 13
1

Prime factors of 4992 are 2, 3,13. Prime factorization of 4992 in exponential form is:

4992 = 27×31×131

Now multiplying the highest exponent prime factors to calculate the LCM of 4985 and 4992.

LCM(4985,4992) = 27×31×51×131×9971
LCM(4985,4992) = 24885120

Factors of 4985

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

1, 5, 997, 4985

Factors of 4992

List of positive integer factors of 4992 that divides 4992 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 312, 384, 416, 624, 832, 1248, 1664, 2496, 4992

Least Common Multiple of 4985 and 4992 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 4992, than apply into the LCM equation.

GCF(4985,4992) = 1
LCM(4985,4992) = ( 4985 × 4992) / 1
LCM(4985,4992) = 24885120 / 1
LCM(4985,4992) = 24885120

Properties of LCM 4985 and 4992

(i) The LCM of 4992 and 4985 is associative

LCM of 4985 and 4992 = LCM of 4992 and 4985

Related Least Common Multiples of 4985

Related Least Common Multiples of 4992

Frequently Asked Questions on LCM of 4985 and 4992

1. What is the LCM of 4985 and 4992?

Answer: LCM of 4985 and 4992 is 24885120.

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 4992?

Answer: Factors of 4992 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 312, 384, 416, 624, 832, 1248, 1664, 2496, 4992. There are 32 integers that are factors of 4992. The greatest factor of 4992 is 4992.

4. How to Find the LCM of 4985 and 4992?

Answer:

Least Common Multiple of 4985 and 4992 = 24885120

Step 1: Find the prime factorization of 4985

4985 = 5 x 997

Step 2: Find the prime factorization of 4992

4992 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13

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

LCM = 24885120 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 997

Step 4: Therefore, the least common multiple of 4985 and 4992 is 24885120.