Least Common Multiple of 7152 and 7158

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 7158 the smallest integer that is 8532336 that is divisible by both numbers.

Least Common Multiple (LCM) of 7152 and 7158 is 8532336.

LCM(7152,7158) = 8532336

LCM of 7152 and 7158

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

LCM of:
and

Least Common Multiple of 7152 and 7158

LCM of 7152 and 7158 is 8532336

Least common multiple can be found by multiplying the highest exponent prime factors of 7152 and 7158. First we will calculate the prime factors of 7152 and 7158.

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 7158


2 7158
3 3579
1193 1193
1

Prime factors of 7158 are 2, 3,1193. Prime factorization of 7158 in exponential form is:

7158 = 21×31×11931

Now multiplying the highest exponent prime factors to calculate the LCM of 7152 and 7158.

LCM(7152,7158) = 24×31×1491×11931
LCM(7152,7158) = 8532336

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 7158

List of positive integer factors of 7158 that divides 7158 without a remainder.

1, 2, 3, 6, 1193, 2386, 3579, 7158

Least Common Multiple of 7152 and 7158 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 7158, than apply into the LCM equation.

GCF(7152,7158) = 6
LCM(7152,7158) = ( 7152 × 7158) / 6
LCM(7152,7158) = 51194016 / 6
LCM(7152,7158) = 8532336

Properties of LCM 7152 and 7158

(i) The LCM of 7158 and 7152 is associative

LCM of 7152 and 7158 = LCM of 7158 and 7152

Related Least Common Multiples of 7152

Related Least Common Multiples of 7158

Frequently Asked Questions on LCM of 7152 and 7158

1. What is the LCM of 7152 and 7158?

Answer: LCM of 7152 and 7158 is 8532336.

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 7158?

Answer: Factors of 7158 are 1, 2, 3, 6, 1193, 2386, 3579, 7158. There are 8 integers that are factors of 7158. The greatest factor of 7158 is 7158.

4. How to Find the LCM of 7152 and 7158?

Answer:

Least Common Multiple of 7152 and 7158 = 8532336

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 7158

7158 = 2 x 3 x 1193

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

LCM = 8532336 = 2 x 2 x 2 x 2 x 3 x 149 x 1193

Step 4: Therefore, the least common multiple of 7152 and 7158 is 8532336.