Least Common Multiple of 4968 and 4975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4968 and 4975 the smallest integer that is 24715800 that is divisible by both numbers.

Least Common Multiple (LCM) of 4968 and 4975 is 24715800.

LCM(4968,4975) = 24715800

LCM of 4968 and 4975

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

LCM of:
and

Least Common Multiple of 4968 and 4975

LCM of 4968 and 4975 is 24715800

Least common multiple can be found by multiplying the highest exponent prime factors of 4968 and 4975. First we will calculate the prime factors of 4968 and 4975.

Prime Factorization of 4968


2 4968
2 2484
2 1242
3 621
3 207
3 69
23 23
1

Prime factors of 4968 are 2, 3,23. Prime factorization of 4968 in exponential form is:

4968 = 23×33×231

Prime Factorization of 4975


5 4975
5 995
199 199
1

Prime factors of 4975 are 5,199. Prime factorization of 4975 in exponential form is:

4975 = 52×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 4968 and 4975.

LCM(4968,4975) = 23×33×52×231×1991
LCM(4968,4975) = 24715800

Factors of 4968

List of positive integer factors of 4968 that divides 4968 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484, 4968

Factors of 4975

List of positive integer factors of 4975 that divides 4975 without a remainder.

1, 5, 25, 199, 995, 4975

Least Common Multiple of 4968 and 4975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4968 and 4975, than apply into the LCM equation.

GCF(4968,4975) = 1
LCM(4968,4975) = ( 4968 × 4975) / 1
LCM(4968,4975) = 24715800 / 1
LCM(4968,4975) = 24715800

Properties of LCM 4968 and 4975

(i) The LCM of 4975 and 4968 is associative

LCM of 4968 and 4975 = LCM of 4975 and 4968

Related Least Common Multiples of 4968

Related Least Common Multiples of 4975

Frequently Asked Questions on LCM of 4968 and 4975

1. What is the LCM of 4968 and 4975?

Answer: LCM of 4968 and 4975 is 24715800.

2. What are the Factors of 4968?

Answer: Factors of 4968 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484, 4968. There are 32 integers that are factors of 4968. The greatest factor of 4968 is 4968.

3. What are the Factors of 4975?

Answer: Factors of 4975 are 1, 5, 25, 199, 995, 4975. There are 6 integers that are factors of 4975. The greatest factor of 4975 is 4975.

4. How to Find the LCM of 4968 and 4975?

Answer:

Least Common Multiple of 4968 and 4975 = 24715800

Step 1: Find the prime factorization of 4968

4968 = 2 x 2 x 2 x 3 x 3 x 3 x 23

Step 2: Find the prime factorization of 4975

4975 = 5 x 5 x 199

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

LCM = 24715800 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 23 x 199

Step 4: Therefore, the least common multiple of 4968 and 4975 is 24715800.