Least Common Multiple of 7152 and 7157

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 7157 the smallest integer that is 51186864 that is divisible by both numbers.

Least Common Multiple (LCM) of 7152 and 7157 is 51186864.

LCM(7152,7157) = 51186864

LCM of 7152 and 7157

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

LCM of:
and

Least Common Multiple of 7152 and 7157

LCM of 7152 and 7157 is 51186864

Least common multiple can be found by multiplying the highest exponent prime factors of 7152 and 7157. First we will calculate the prime factors of 7152 and 7157.

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 7157


17 7157
421 421
1

Prime factors of 7157 are 17,421. Prime factorization of 7157 in exponential form is:

7157 = 171×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 7152 and 7157.

LCM(7152,7157) = 24×31×171×1491×4211
LCM(7152,7157) = 51186864

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 7157

List of positive integer factors of 7157 that divides 7157 without a remainder.

1, 17, 421, 7157

Least Common Multiple of 7152 and 7157 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 7157, than apply into the LCM equation.

GCF(7152,7157) = 1
LCM(7152,7157) = ( 7152 × 7157) / 1
LCM(7152,7157) = 51186864 / 1
LCM(7152,7157) = 51186864

Properties of LCM 7152 and 7157

(i) The LCM of 7157 and 7152 is associative

LCM of 7152 and 7157 = LCM of 7157 and 7152

Related Least Common Multiples of 7152

Related Least Common Multiples of 7157

Frequently Asked Questions on LCM of 7152 and 7157

1. What is the LCM of 7152 and 7157?

Answer: LCM of 7152 and 7157 is 51186864.

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 7157?

Answer: Factors of 7157 are 1, 17, 421, 7157. There are 4 integers that are factors of 7157. The greatest factor of 7157 is 7157.

4. How to Find the LCM of 7152 and 7157?

Answer:

Least Common Multiple of 7152 and 7157 = 51186864

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 7157

7157 = 17 x 421

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

LCM = 51186864 = 2 x 2 x 2 x 2 x 3 x 17 x 149 x 421

Step 4: Therefore, the least common multiple of 7152 and 7157 is 51186864.