Least Common Multiple of 7152 and 7160

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 7160 the smallest integer that is 6401040 that is divisible by both numbers.

Least Common Multiple (LCM) of 7152 and 7160 is 6401040.

LCM(7152,7160) = 6401040

LCM of 7152 and 7160

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

LCM of:
and

Least Common Multiple of 7152 and 7160

LCM of 7152 and 7160 is 6401040

Least common multiple can be found by multiplying the highest exponent prime factors of 7152 and 7160. First we will calculate the prime factors of 7152 and 7160.

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 7160


2 7160
2 3580
2 1790
5 895
179 179
1

Prime factors of 7160 are 2, 5,179. Prime factorization of 7160 in exponential form is:

7160 = 23×51×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 7152 and 7160.

LCM(7152,7160) = 24×31×51×1491×1791
LCM(7152,7160) = 6401040

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 7160

List of positive integer factors of 7160 that divides 7160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160

Least Common Multiple of 7152 and 7160 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 7160, than apply into the LCM equation.

GCF(7152,7160) = 8
LCM(7152,7160) = ( 7152 × 7160) / 8
LCM(7152,7160) = 51208320 / 8
LCM(7152,7160) = 6401040

Properties of LCM 7152 and 7160

(i) The LCM of 7160 and 7152 is associative

LCM of 7152 and 7160 = LCM of 7160 and 7152

Related Least Common Multiples of 7152

Related Least Common Multiples of 7160

Frequently Asked Questions on LCM of 7152 and 7160

1. What is the LCM of 7152 and 7160?

Answer: LCM of 7152 and 7160 is 6401040.

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 7160?

Answer: Factors of 7160 are 1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160. There are 16 integers that are factors of 7160. The greatest factor of 7160 is 7160.

4. How to Find the LCM of 7152 and 7160?

Answer:

Least Common Multiple of 7152 and 7160 = 6401040

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 7160

7160 = 2 x 2 x 2 x 5 x 179

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

LCM = 6401040 = 2 x 2 x 2 x 2 x 3 x 5 x 149 x 179

Step 4: Therefore, the least common multiple of 7152 and 7160 is 6401040.