Least Common Multiple of 6144 and 6152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6144 and 6152 the smallest integer that is 4724736 that is divisible by both numbers.

Least Common Multiple (LCM) of 6144 and 6152 is 4724736.

LCM(6144,6152) = 4724736

LCM of 6144 and 6152

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

LCM of:
and

Least Common Multiple of 6144 and 6152

LCM of 6144 and 6152 is 4724736

Least common multiple can be found by multiplying the highest exponent prime factors of 6144 and 6152. First we will calculate the prime factors of 6144 and 6152.

Prime Factorization of 6144


2 6144
2 3072
2 1536
2 768
2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 6144 are 2,3. Prime factorization of 6144 in exponential form is:

6144 = 211×31

Prime Factorization of 6152


2 6152
2 3076
2 1538
769 769
1

Prime factors of 6152 are 2,769. Prime factorization of 6152 in exponential form is:

6152 = 23×7691

Now multiplying the highest exponent prime factors to calculate the LCM of 6144 and 6152.

LCM(6144,6152) = 211×31×7691
LCM(6144,6152) = 4724736

Factors of 6144

List of positive integer factors of 6144 that divides 6144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072, 6144

Factors of 6152

List of positive integer factors of 6152 that divides 6152 without a remainder.

1, 2, 4, 8, 769, 1538, 3076, 6152

Least Common Multiple of 6144 and 6152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6144 and 6152, than apply into the LCM equation.

GCF(6144,6152) = 8
LCM(6144,6152) = ( 6144 × 6152) / 8
LCM(6144,6152) = 37797888 / 8
LCM(6144,6152) = 4724736

Properties of LCM 6144 and 6152

(i) The LCM of 6152 and 6144 is associative

LCM of 6144 and 6152 = LCM of 6152 and 6144

Related Least Common Multiples of 6144

Related Least Common Multiples of 6152

Frequently Asked Questions on LCM of 6144 and 6152

1. What is the LCM of 6144 and 6152?

Answer: LCM of 6144 and 6152 is 4724736.

2. What are the Factors of 6144?

Answer: Factors of 6144 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072, 6144. There are 24 integers that are factors of 6144. The greatest factor of 6144 is 6144.

3. What are the Factors of 6152?

Answer: Factors of 6152 are 1, 2, 4, 8, 769, 1538, 3076, 6152. There are 8 integers that are factors of 6152. The greatest factor of 6152 is 6152.

4. How to Find the LCM of 6144 and 6152?

Answer:

Least Common Multiple of 6144 and 6152 = 4724736

Step 1: Find the prime factorization of 6144

6144 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Step 2: Find the prime factorization of 6152

6152 = 2 x 2 x 2 x 769

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

LCM = 4724736 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 769

Step 4: Therefore, the least common multiple of 6144 and 6152 is 4724736.