Least Common Multiple of 7152 and 7159

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 7159 the smallest integer that is 51201168 that is divisible by both numbers.

Least Common Multiple (LCM) of 7152 and 7159 is 51201168.

LCM(7152,7159) = 51201168

LCM of 7152 and 7159

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

LCM of:
and

Least Common Multiple of 7152 and 7159

LCM of 7152 and 7159 is 51201168

Least common multiple can be found by multiplying the highest exponent prime factors of 7152 and 7159. First we will calculate the prime factors of 7152 and 7159.

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 7159


7159 7159
1

Prime factors of 7159 are 7159. Prime factorization of 7159 in exponential form is:

7159 = 71591

Now multiplying the highest exponent prime factors to calculate the LCM of 7152 and 7159.

LCM(7152,7159) = 24×31×1491×71591
LCM(7152,7159) = 51201168

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 7159

List of positive integer factors of 7159 that divides 7159 without a remainder.

1, 7159

Least Common Multiple of 7152 and 7159 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 7159, than apply into the LCM equation.

GCF(7152,7159) = 1
LCM(7152,7159) = ( 7152 × 7159) / 1
LCM(7152,7159) = 51201168 / 1
LCM(7152,7159) = 51201168

Properties of LCM 7152 and 7159

(i) The LCM of 7159 and 7152 is associative

LCM of 7152 and 7159 = LCM of 7159 and 7152

Related Least Common Multiples of 7152

Related Least Common Multiples of 7159

Frequently Asked Questions on LCM of 7152 and 7159

1. What is the LCM of 7152 and 7159?

Answer: LCM of 7152 and 7159 is 51201168.

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 7159?

Answer: Factors of 7159 are 1, 7159. There are 2 integers that are factors of 7159. The greatest factor of 7159 is 7159.

4. How to Find the LCM of 7152 and 7159?

Answer:

Least Common Multiple of 7152 and 7159 = 51201168

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 7159

7159 = 7159

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

LCM = 51201168 = 2 x 2 x 2 x 2 x 3 x 149 x 7159

Step 4: Therefore, the least common multiple of 7152 and 7159 is 51201168.