Least Common Multiple of 7152 and 7156

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 7156 the smallest integer that is 12794928 that is divisible by both numbers.

Least Common Multiple (LCM) of 7152 and 7156 is 12794928.

LCM(7152,7156) = 12794928

LCM of 7152 and 7156

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

LCM of:
and

Least Common Multiple of 7152 and 7156

LCM of 7152 and 7156 is 12794928

Least common multiple can be found by multiplying the highest exponent prime factors of 7152 and 7156. First we will calculate the prime factors of 7152 and 7156.

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 7156


2 7156
2 3578
1789 1789
1

Prime factors of 7156 are 2,1789. Prime factorization of 7156 in exponential form is:

7156 = 22×17891

Now multiplying the highest exponent prime factors to calculate the LCM of 7152 and 7156.

LCM(7152,7156) = 24×31×1491×17891
LCM(7152,7156) = 12794928

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 7156

List of positive integer factors of 7156 that divides 7156 without a remainder.

1, 2, 4, 1789, 3578, 7156

Least Common Multiple of 7152 and 7156 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 7156, than apply into the LCM equation.

GCF(7152,7156) = 4
LCM(7152,7156) = ( 7152 × 7156) / 4
LCM(7152,7156) = 51179712 / 4
LCM(7152,7156) = 12794928

Properties of LCM 7152 and 7156

(i) The LCM of 7156 and 7152 is associative

LCM of 7152 and 7156 = LCM of 7156 and 7152

Related Least Common Multiples of 7152

Related Least Common Multiples of 7156

Frequently Asked Questions on LCM of 7152 and 7156

1. What is the LCM of 7152 and 7156?

Answer: LCM of 7152 and 7156 is 12794928.

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 7156?

Answer: Factors of 7156 are 1, 2, 4, 1789, 3578, 7156. There are 6 integers that are factors of 7156. The greatest factor of 7156 is 7156.

4. How to Find the LCM of 7152 and 7156?

Answer:

Least Common Multiple of 7152 and 7156 = 12794928

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 7156

7156 = 2 x 2 x 1789

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

LCM = 12794928 = 2 x 2 x 2 x 2 x 3 x 149 x 1789

Step 4: Therefore, the least common multiple of 7152 and 7156 is 12794928.