Least Common Multiple of 7152 and 7155

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 7155 the smallest integer that is 17057520 that is divisible by both numbers.

Least Common Multiple (LCM) of 7152 and 7155 is 17057520.

LCM(7152,7155) = 17057520

LCM of 7152 and 7155

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

LCM of:
and

Least Common Multiple of 7152 and 7155

LCM of 7152 and 7155 is 17057520

Least common multiple can be found by multiplying the highest exponent prime factors of 7152 and 7155. First we will calculate the prime factors of 7152 and 7155.

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 7155


3 7155
3 2385
3 795
5 265
53 53
1

Prime factors of 7155 are 3, 5,53. Prime factorization of 7155 in exponential form is:

7155 = 33×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 7152 and 7155.

LCM(7152,7155) = 24×33×51×531×1491
LCM(7152,7155) = 17057520

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 7155

List of positive integer factors of 7155 that divides 7155 without a remainder.

1, 3, 5, 9, 15, 27, 45, 53, 135, 159, 265, 477, 795, 1431, 2385, 7155

Least Common Multiple of 7152 and 7155 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 7155, than apply into the LCM equation.

GCF(7152,7155) = 3
LCM(7152,7155) = ( 7152 × 7155) / 3
LCM(7152,7155) = 51172560 / 3
LCM(7152,7155) = 17057520

Properties of LCM 7152 and 7155

(i) The LCM of 7155 and 7152 is associative

LCM of 7152 and 7155 = LCM of 7155 and 7152

Related Least Common Multiples of 7152

Related Least Common Multiples of 7155

Frequently Asked Questions on LCM of 7152 and 7155

1. What is the LCM of 7152 and 7155?

Answer: LCM of 7152 and 7155 is 17057520.

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 7155?

Answer: Factors of 7155 are 1, 3, 5, 9, 15, 27, 45, 53, 135, 159, 265, 477, 795, 1431, 2385, 7155. There are 16 integers that are factors of 7155. The greatest factor of 7155 is 7155.

4. How to Find the LCM of 7152 and 7155?

Answer:

Least Common Multiple of 7152 and 7155 = 17057520

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 7155

7155 = 3 x 3 x 3 x 5 x 53

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

LCM = 17057520 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 53 x 149

Step 4: Therefore, the least common multiple of 7152 and 7155 is 17057520.