Least Common Multiple of 4992 and 4996

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 4996 the smallest integer that is 6235008 that is divisible by both numbers.

Least Common Multiple (LCM) of 4992 and 4996 is 6235008.

LCM(4992,4996) = 6235008

LCM of 4992 and 4996

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

LCM of:
and

Least Common Multiple of 4992 and 4996

LCM of 4992 and 4996 is 6235008

Least common multiple can be found by multiplying the highest exponent prime factors of 4992 and 4996. First we will calculate the prime factors of 4992 and 4996.

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 4996


2 4996
2 2498
1249 1249
1

Prime factors of 4996 are 2,1249. Prime factorization of 4996 in exponential form is:

4996 = 22×12491

Now multiplying the highest exponent prime factors to calculate the LCM of 4992 and 4996.

LCM(4992,4996) = 27×31×131×12491
LCM(4992,4996) = 6235008

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 4996

List of positive integer factors of 4996 that divides 4996 without a remainder.

1, 2, 4, 1249, 2498, 4996

Least Common Multiple of 4992 and 4996 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 4996, than apply into the LCM equation.

GCF(4992,4996) = 4
LCM(4992,4996) = ( 4992 × 4996) / 4
LCM(4992,4996) = 24940032 / 4
LCM(4992,4996) = 6235008

Properties of LCM 4992 and 4996

(i) The LCM of 4996 and 4992 is associative

LCM of 4992 and 4996 = LCM of 4996 and 4992

Related Least Common Multiples of 4992

Related Least Common Multiples of 4996

Frequently Asked Questions on LCM of 4992 and 4996

1. What is the LCM of 4992 and 4996?

Answer: LCM of 4992 and 4996 is 6235008.

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 4996?

Answer: Factors of 4996 are 1, 2, 4, 1249, 2498, 4996. There are 6 integers that are factors of 4996. The greatest factor of 4996 is 4996.

4. How to Find the LCM of 4992 and 4996?

Answer:

Least Common Multiple of 4992 and 4996 = 6235008

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 4996

4996 = 2 x 2 x 1249

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

LCM = 6235008 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 1249

Step 4: Therefore, the least common multiple of 4992 and 4996 is 6235008.