Least Common Multiple of 5148 and 5152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5148 and 5152 the smallest integer that is 6630624 that is divisible by both numbers.

Least Common Multiple (LCM) of 5148 and 5152 is 6630624.

LCM(5148,5152) = 6630624

LCM of 5148 and 5152

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

LCM of:
and

Least Common Multiple of 5148 and 5152

LCM of 5148 and 5152 is 6630624

Least common multiple can be found by multiplying the highest exponent prime factors of 5148 and 5152. First we will calculate the prime factors of 5148 and 5152.

Prime Factorization of 5148


2 5148
2 2574
3 1287
3 429
11 143
13 13
1

Prime factors of 5148 are 2, 3, 11,13. Prime factorization of 5148 in exponential form is:

5148 = 22×32×111×131

Prime Factorization of 5152


2 5152
2 2576
2 1288
2 644
2 322
7 161
23 23
1

Prime factors of 5152 are 2, 7,23. Prime factorization of 5152 in exponential form is:

5152 = 25×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 5148 and 5152.

LCM(5148,5152) = 25×32×71×111×131×231
LCM(5148,5152) = 6630624

Factors of 5148

List of positive integer factors of 5148 that divides 5148 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 132, 143, 156, 198, 234, 286, 396, 429, 468, 572, 858, 1287, 1716, 2574, 5148

Factors of 5152

List of positive integer factors of 5152 that divides 5152 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 92, 112, 161, 184, 224, 322, 368, 644, 736, 1288, 2576, 5152

Least Common Multiple of 5148 and 5152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5148 and 5152, than apply into the LCM equation.

GCF(5148,5152) = 4
LCM(5148,5152) = ( 5148 × 5152) / 4
LCM(5148,5152) = 26522496 / 4
LCM(5148,5152) = 6630624

Properties of LCM 5148 and 5152

(i) The LCM of 5152 and 5148 is associative

LCM of 5148 and 5152 = LCM of 5152 and 5148

Related Least Common Multiples of 5148

Related Least Common Multiples of 5152

Frequently Asked Questions on LCM of 5148 and 5152

1. What is the LCM of 5148 and 5152?

Answer: LCM of 5148 and 5152 is 6630624.

2. What are the Factors of 5148?

Answer: Factors of 5148 are 1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 132, 143, 156, 198, 234, 286, 396, 429, 468, 572, 858, 1287, 1716, 2574, 5148. There are 36 integers that are factors of 5148. The greatest factor of 5148 is 5148.

3. What are the Factors of 5152?

Answer: Factors of 5152 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 92, 112, 161, 184, 224, 322, 368, 644, 736, 1288, 2576, 5152. There are 24 integers that are factors of 5152. The greatest factor of 5152 is 5152.

4. How to Find the LCM of 5148 and 5152?

Answer:

Least Common Multiple of 5148 and 5152 = 6630624

Step 1: Find the prime factorization of 5148

5148 = 2 x 2 x 3 x 3 x 11 x 13

Step 2: Find the prime factorization of 5152

5152 = 2 x 2 x 2 x 2 x 2 x 7 x 23

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

LCM = 6630624 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 13 x 23

Step 4: Therefore, the least common multiple of 5148 and 5152 is 6630624.