Least Common Multiple of 4992 and 4999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4992 and 4999 the smallest integer that is 24955008 that is divisible by both numbers.

Least Common Multiple (LCM) of 4992 and 4999 is 24955008.

LCM(4992,4999) = 24955008

LCM of 4992 and 4999

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

LCM of:
and

Least Common Multiple of 4992 and 4999

LCM of 4992 and 4999 is 24955008

Least common multiple can be found by multiplying the highest exponent prime factors of 4992 and 4999. First we will calculate the prime factors of 4992 and 4999.

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

Prime Factorization of 4999


4999 4999
1

Prime factors of 4999 are 4999. Prime factorization of 4999 in exponential form is:

4999 = 49991

Now multiplying the highest exponent prime factors to calculate the LCM of 4992 and 4999.

LCM(4992,4999) = 27×31×131×49991
LCM(4992,4999) = 24955008

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

Factors of 4999

List of positive integer factors of 4999 that divides 4999 without a remainder.

1, 4999

Least Common Multiple of 4992 and 4999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4992 and 4999, than apply into the LCM equation.

GCF(4992,4999) = 1
LCM(4992,4999) = ( 4992 × 4999) / 1
LCM(4992,4999) = 24955008 / 1
LCM(4992,4999) = 24955008

Properties of LCM 4992 and 4999

(i) The LCM of 4999 and 4992 is associative

LCM of 4992 and 4999 = LCM of 4999 and 4992

Related Least Common Multiples of 4992

Related Least Common Multiples of 4999

Frequently Asked Questions on LCM of 4992 and 4999

1. What is the LCM of 4992 and 4999?

Answer: LCM of 4992 and 4999 is 24955008.

2. 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.

3. What are the Factors of 4999?

Answer: Factors of 4999 are 1, 4999. There are 2 integers that are factors of 4999. The greatest factor of 4999 is 4999.

4. How to Find the LCM of 4992 and 4999?

Answer:

Least Common Multiple of 4992 and 4999 = 24955008

Step 1: 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 2: Find the prime factorization of 4999

4999 = 4999

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

LCM = 24955008 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 4999

Step 4: Therefore, the least common multiple of 4992 and 4999 is 24955008.