Least Common Multiple of 4992 and 4998

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 4998 the smallest integer that is 4158336 that is divisible by both numbers.

Least Common Multiple (LCM) of 4992 and 4998 is 4158336.

LCM(4992,4998) = 4158336

LCM of 4992 and 4998

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

LCM of:
and

Least Common Multiple of 4992 and 4998

LCM of 4992 and 4998 is 4158336

Least common multiple can be found by multiplying the highest exponent prime factors of 4992 and 4998. First we will calculate the prime factors of 4992 and 4998.

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 4998


2 4998
3 2499
7 833
7 119
17 17
1

Prime factors of 4998 are 2, 3, 7,17. Prime factorization of 4998 in exponential form is:

4998 = 21×31×72×171

Now multiplying the highest exponent prime factors to calculate the LCM of 4992 and 4998.

LCM(4992,4998) = 27×31×72×131×171
LCM(4992,4998) = 4158336

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 4998

List of positive integer factors of 4998 that divides 4998 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 294, 357, 714, 833, 1666, 2499, 4998

Least Common Multiple of 4992 and 4998 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 4998, than apply into the LCM equation.

GCF(4992,4998) = 6
LCM(4992,4998) = ( 4992 × 4998) / 6
LCM(4992,4998) = 24950016 / 6
LCM(4992,4998) = 4158336

Properties of LCM 4992 and 4998

(i) The LCM of 4998 and 4992 is associative

LCM of 4992 and 4998 = LCM of 4998 and 4992

Related Least Common Multiples of 4992

Related Least Common Multiples of 4998

Frequently Asked Questions on LCM of 4992 and 4998

1. What is the LCM of 4992 and 4998?

Answer: LCM of 4992 and 4998 is 4158336.

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 4998?

Answer: Factors of 4998 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 294, 357, 714, 833, 1666, 2499, 4998. There are 24 integers that are factors of 4998. The greatest factor of 4998 is 4998.

4. How to Find the LCM of 4992 and 4998?

Answer:

Least Common Multiple of 4992 and 4998 = 4158336

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 4998

4998 = 2 x 3 x 7 x 7 x 17

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

LCM = 4158336 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 13 x 17

Step 4: Therefore, the least common multiple of 4992 and 4998 is 4158336.