Least Common Multiple of 7148 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 7148 and 7155 the smallest integer that is 51143940 that is divisible by both numbers.

Least Common Multiple (LCM) of 7148 and 7155 is 51143940.

LCM(7148,7155) = 51143940

LCM of 7148 and 7155

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

LCM of:
and

Least Common Multiple of 7148 and 7155

LCM of 7148 and 7155 is 51143940

Least common multiple can be found by multiplying the highest exponent prime factors of 7148 and 7155. First we will calculate the prime factors of 7148 and 7155.

Prime Factorization of 7148


2 7148
2 3574
1787 1787
1

Prime factors of 7148 are 2,1787. Prime factorization of 7148 in exponential form is:

7148 = 22×17871

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 7148 and 7155.

LCM(7148,7155) = 22×33×51×531×17871
LCM(7148,7155) = 51143940

Factors of 7148

List of positive integer factors of 7148 that divides 7148 without a remainder.

1, 2, 4, 1787, 3574, 7148

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 7148 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 7148 and 7155, than apply into the LCM equation.

GCF(7148,7155) = 1
LCM(7148,7155) = ( 7148 × 7155) / 1
LCM(7148,7155) = 51143940 / 1
LCM(7148,7155) = 51143940

Properties of LCM 7148 and 7155

(i) The LCM of 7155 and 7148 is associative

LCM of 7148 and 7155 = LCM of 7155 and 7148

Related Least Common Multiples of 7148

Related Least Common Multiples of 7155

Frequently Asked Questions on LCM of 7148 and 7155

1. What is the LCM of 7148 and 7155?

Answer: LCM of 7148 and 7155 is 51143940.

2. What are the Factors of 7148?

Answer: Factors of 7148 are 1, 2, 4, 1787, 3574, 7148. There are 6 integers that are factors of 7148. The greatest factor of 7148 is 7148.

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 7148 and 7155?

Answer:

Least Common Multiple of 7148 and 7155 = 51143940

Step 1: Find the prime factorization of 7148

7148 = 2 x 2 x 1787

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 = 51143940 = 2 x 2 x 3 x 3 x 3 x 5 x 53 x 1787

Step 4: Therefore, the least common multiple of 7148 and 7155 is 51143940.