Least Common Multiple of 4944 and 4952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4944 and 4952 the smallest integer that is 3060336 that is divisible by both numbers.

Least Common Multiple (LCM) of 4944 and 4952 is 3060336.

LCM(4944,4952) = 3060336

LCM of 4944 and 4952

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

LCM of:
and

Least Common Multiple of 4944 and 4952

LCM of 4944 and 4952 is 3060336

Least common multiple can be found by multiplying the highest exponent prime factors of 4944 and 4952. First we will calculate the prime factors of 4944 and 4952.

Prime Factorization of 4944


2 4944
2 2472
2 1236
2 618
3 309
103 103
1

Prime factors of 4944 are 2, 3,103. Prime factorization of 4944 in exponential form is:

4944 = 24×31×1031

Prime Factorization of 4952


2 4952
2 2476
2 1238
619 619
1

Prime factors of 4952 are 2,619. Prime factorization of 4952 in exponential form is:

4952 = 23×6191

Now multiplying the highest exponent prime factors to calculate the LCM of 4944 and 4952.

LCM(4944,4952) = 24×31×1031×6191
LCM(4944,4952) = 3060336

Factors of 4944

List of positive integer factors of 4944 that divides 4944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 4944

Factors of 4952

List of positive integer factors of 4952 that divides 4952 without a remainder.

1, 2, 4, 8, 619, 1238, 2476, 4952

Least Common Multiple of 4944 and 4952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4944 and 4952, than apply into the LCM equation.

GCF(4944,4952) = 8
LCM(4944,4952) = ( 4944 × 4952) / 8
LCM(4944,4952) = 24482688 / 8
LCM(4944,4952) = 3060336

Properties of LCM 4944 and 4952

(i) The LCM of 4952 and 4944 is associative

LCM of 4944 and 4952 = LCM of 4952 and 4944

Related Least Common Multiples of 4944

Related Least Common Multiples of 4952

Frequently Asked Questions on LCM of 4944 and 4952

1. What is the LCM of 4944 and 4952?

Answer: LCM of 4944 and 4952 is 3060336.

2. What are the Factors of 4944?

Answer: Factors of 4944 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 4944. There are 20 integers that are factors of 4944. The greatest factor of 4944 is 4944.

3. What are the Factors of 4952?

Answer: Factors of 4952 are 1, 2, 4, 8, 619, 1238, 2476, 4952. There are 8 integers that are factors of 4952. The greatest factor of 4952 is 4952.

4. How to Find the LCM of 4944 and 4952?

Answer:

Least Common Multiple of 4944 and 4952 = 3060336

Step 1: Find the prime factorization of 4944

4944 = 2 x 2 x 2 x 2 x 3 x 103

Step 2: Find the prime factorization of 4952

4952 = 2 x 2 x 2 x 619

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

LCM = 3060336 = 2 x 2 x 2 x 2 x 3 x 103 x 619

Step 4: Therefore, the least common multiple of 4944 and 4952 is 3060336.