Least Common Multiple of 4992 and 4997

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 4997 the smallest integer that is 24945024 that is divisible by both numbers.

Least Common Multiple (LCM) of 4992 and 4997 is 24945024.

LCM(4992,4997) = 24945024

LCM of 4992 and 4997

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

LCM of:
and

Least Common Multiple of 4992 and 4997

LCM of 4992 and 4997 is 24945024

Least common multiple can be found by multiplying the highest exponent prime factors of 4992 and 4997. First we will calculate the prime factors of 4992 and 4997.

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 4997


19 4997
263 263
1

Prime factors of 4997 are 19,263. Prime factorization of 4997 in exponential form is:

4997 = 191×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 4992 and 4997.

LCM(4992,4997) = 27×31×131×191×2631
LCM(4992,4997) = 24945024

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 4997

List of positive integer factors of 4997 that divides 4997 without a remainder.

1, 19, 263, 4997

Least Common Multiple of 4992 and 4997 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 4997, than apply into the LCM equation.

GCF(4992,4997) = 1
LCM(4992,4997) = ( 4992 × 4997) / 1
LCM(4992,4997) = 24945024 / 1
LCM(4992,4997) = 24945024

Properties of LCM 4992 and 4997

(i) The LCM of 4997 and 4992 is associative

LCM of 4992 and 4997 = LCM of 4997 and 4992

Related Least Common Multiples of 4992

Related Least Common Multiples of 4997

Frequently Asked Questions on LCM of 4992 and 4997

1. What is the LCM of 4992 and 4997?

Answer: LCM of 4992 and 4997 is 24945024.

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 4997?

Answer: Factors of 4997 are 1, 19, 263, 4997. There are 4 integers that are factors of 4997. The greatest factor of 4997 is 4997.

4. How to Find the LCM of 4992 and 4997?

Answer:

Least Common Multiple of 4992 and 4997 = 24945024

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 4997

4997 = 19 x 263

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

LCM = 24945024 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 19 x 263

Step 4: Therefore, the least common multiple of 4992 and 4997 is 24945024.