Least Common Multiple of 4988 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 4988 and 4992 the smallest integer that is 6225024 that is divisible by both numbers.

Least Common Multiple (LCM) of 4988 and 4992 is 6225024.

LCM(4988,4992) = 6225024

LCM of 4988 and 4992

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

LCM of:
and

Least Common Multiple of 4988 and 4992

LCM of 4988 and 4992 is 6225024

Least common multiple can be found by multiplying the highest exponent prime factors of 4988 and 4992. First we will calculate the prime factors of 4988 and 4992.

Prime Factorization of 4988


2 4988
2 2494
29 1247
43 43
1

Prime factors of 4988 are 2, 29,43. Prime factorization of 4988 in exponential form is:

4988 = 22×291×431

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 4988 and 4992.

LCM(4988,4992) = 27×31×131×291×431
LCM(4988,4992) = 6225024

Factors of 4988

List of positive integer factors of 4988 that divides 4988 without a remainder.

1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494, 4988

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 4988 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 4988 and 4992, than apply into the LCM equation.

GCF(4988,4992) = 4
LCM(4988,4992) = ( 4988 × 4992) / 4
LCM(4988,4992) = 24900096 / 4
LCM(4988,4992) = 6225024

Properties of LCM 4988 and 4992

(i) The LCM of 4992 and 4988 is associative

LCM of 4988 and 4992 = LCM of 4992 and 4988

Related Least Common Multiples of 4988

Related Least Common Multiples of 4992

Frequently Asked Questions on LCM of 4988 and 4992

1. What is the LCM of 4988 and 4992?

Answer: LCM of 4988 and 4992 is 6225024.

2. What are the Factors of 4988?

Answer: Factors of 4988 are 1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494, 4988. There are 12 integers that are factors of 4988. The greatest factor of 4988 is 4988.

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 4988 and 4992?

Answer:

Least Common Multiple of 4988 and 4992 = 6225024

Step 1: Find the prime factorization of 4988

4988 = 2 x 2 x 29 x 43

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 = 6225024 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 29 x 43

Step 4: Therefore, the least common multiple of 4988 and 4992 is 6225024.