Least Common Multiple of 7152 and 7153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7152 and 7153 the smallest integer that is 51158256 that is divisible by both numbers.

Least Common Multiple (LCM) of 7152 and 7153 is 51158256.

LCM(7152,7153) = 51158256

LCM of 7152 and 7153

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

LCM of:
and

Least Common Multiple of 7152 and 7153

LCM of 7152 and 7153 is 51158256

Least common multiple can be found by multiplying the highest exponent prime factors of 7152 and 7153. First we will calculate the prime factors of 7152 and 7153.

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

Prime Factorization of 7153


23 7153
311 311
1

Prime factors of 7153 are 23,311. Prime factorization of 7153 in exponential form is:

7153 = 231×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 7152 and 7153.

LCM(7152,7153) = 24×31×231×1491×3111
LCM(7152,7153) = 51158256

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

Factors of 7153

List of positive integer factors of 7153 that divides 7153 without a remainder.

1, 23, 311, 7153

Least Common Multiple of 7152 and 7153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7152 and 7153, than apply into the LCM equation.

GCF(7152,7153) = 1
LCM(7152,7153) = ( 7152 × 7153) / 1
LCM(7152,7153) = 51158256 / 1
LCM(7152,7153) = 51158256

Properties of LCM 7152 and 7153

(i) The LCM of 7153 and 7152 is associative

LCM of 7152 and 7153 = LCM of 7153 and 7152

Related Least Common Multiples of 7152

Related Least Common Multiples of 7153

Frequently Asked Questions on LCM of 7152 and 7153

1. What is the LCM of 7152 and 7153?

Answer: LCM of 7152 and 7153 is 51158256.

2. 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.

3. What are the Factors of 7153?

Answer: Factors of 7153 are 1, 23, 311, 7153. There are 4 integers that are factors of 7153. The greatest factor of 7153 is 7153.

4. How to Find the LCM of 7152 and 7153?

Answer:

Least Common Multiple of 7152 and 7153 = 51158256

Step 1: Find the prime factorization of 7152

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

Step 2: Find the prime factorization of 7153

7153 = 23 x 311

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

LCM = 51158256 = 2 x 2 x 2 x 2 x 3 x 23 x 149 x 311

Step 4: Therefore, the least common multiple of 7152 and 7153 is 51158256.