Least Common Multiple of 4968 and 4972

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 4972 the smallest integer that is 6175224 that is divisible by both numbers.

Least Common Multiple (LCM) of 4968 and 4972 is 6175224.

LCM(4968,4972) = 6175224

LCM of 4968 and 4972

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

LCM of:
and

Least Common Multiple of 4968 and 4972

LCM of 4968 and 4972 is 6175224

Least common multiple can be found by multiplying the highest exponent prime factors of 4968 and 4972. First we will calculate the prime factors of 4968 and 4972.

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 4972


2 4972
2 2486
11 1243
113 113
1

Prime factors of 4972 are 2, 11,113. Prime factorization of 4972 in exponential form is:

4972 = 22×111×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 4968 and 4972.

LCM(4968,4972) = 23×33×111×231×1131
LCM(4968,4972) = 6175224

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 4972

List of positive integer factors of 4972 that divides 4972 without a remainder.

1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972

Least Common Multiple of 4968 and 4972 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 4972, than apply into the LCM equation.

GCF(4968,4972) = 4
LCM(4968,4972) = ( 4968 × 4972) / 4
LCM(4968,4972) = 24700896 / 4
LCM(4968,4972) = 6175224

Properties of LCM 4968 and 4972

(i) The LCM of 4972 and 4968 is associative

LCM of 4968 and 4972 = LCM of 4972 and 4968

Related Least Common Multiples of 4968

Related Least Common Multiples of 4972

Frequently Asked Questions on LCM of 4968 and 4972

1. What is the LCM of 4968 and 4972?

Answer: LCM of 4968 and 4972 is 6175224.

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 4972?

Answer: Factors of 4972 are 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972. There are 12 integers that are factors of 4972. The greatest factor of 4972 is 4972.

4. How to Find the LCM of 4968 and 4972?

Answer:

Least Common Multiple of 4968 and 4972 = 6175224

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 4972

4972 = 2 x 2 x 11 x 113

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

LCM = 6175224 = 2 x 2 x 2 x 3 x 3 x 3 x 11 x 23 x 113

Step 4: Therefore, the least common multiple of 4968 and 4972 is 6175224.