Least Common Multiple of 7147 and 7152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7147 and 7152 the smallest integer that is 51115344 that is divisible by both numbers.

Least Common Multiple (LCM) of 7147 and 7152 is 51115344.

LCM(7147,7152) = 51115344

LCM of 7147 and 7152

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

LCM of:
and

Least Common Multiple of 7147 and 7152

LCM of 7147 and 7152 is 51115344

Least common multiple can be found by multiplying the highest exponent prime factors of 7147 and 7152. First we will calculate the prime factors of 7147 and 7152.

Prime Factorization of 7147


7 7147
1021 1021
1

Prime factors of 7147 are 7,1021. Prime factorization of 7147 in exponential form is:

7147 = 71×10211

Prime Factorization of 7152


2 7152
2 3576
2 1788
2 894
3 447
149 149
1

Prime factors of 7152 are 2, 3,149. Prime factorization of 7152 in exponential form is:

7152 = 24×31×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 7147 and 7152.

LCM(7147,7152) = 24×31×71×1491×10211
LCM(7147,7152) = 51115344

Factors of 7147

List of positive integer factors of 7147 that divides 7147 without a remainder.

1, 7, 1021, 7147

Factors of 7152

List of positive integer factors of 7152 that divides 7152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 149, 298, 447, 596, 894, 1192, 1788, 2384, 3576, 7152

Least Common Multiple of 7147 and 7152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7147 and 7152, than apply into the LCM equation.

GCF(7147,7152) = 1
LCM(7147,7152) = ( 7147 × 7152) / 1
LCM(7147,7152) = 51115344 / 1
LCM(7147,7152) = 51115344

Properties of LCM 7147 and 7152

(i) The LCM of 7152 and 7147 is associative

LCM of 7147 and 7152 = LCM of 7152 and 7147

Related Least Common Multiples of 7147

Related Least Common Multiples of 7152

Frequently Asked Questions on LCM of 7147 and 7152

1. What is the LCM of 7147 and 7152?

Answer: LCM of 7147 and 7152 is 51115344.

2. What are the Factors of 7147?

Answer: Factors of 7147 are 1, 7, 1021, 7147. There are 4 integers that are factors of 7147. The greatest factor of 7147 is 7147.

3. What are the Factors of 7152?

Answer: Factors of 7152 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 149, 298, 447, 596, 894, 1192, 1788, 2384, 3576, 7152. There are 20 integers that are factors of 7152. The greatest factor of 7152 is 7152.

4. How to Find the LCM of 7147 and 7152?

Answer:

Least Common Multiple of 7147 and 7152 = 51115344

Step 1: Find the prime factorization of 7147

7147 = 7 x 1021

Step 2: Find the prime factorization of 7152

7152 = 2 x 2 x 2 x 2 x 3 x 149

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

LCM = 51115344 = 2 x 2 x 2 x 2 x 3 x 7 x 149 x 1021

Step 4: Therefore, the least common multiple of 7147 and 7152 is 51115344.