Least Common Multiple of 7144 and 7148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7144 and 7148 the smallest integer that is 12766328 that is divisible by both numbers.

Least Common Multiple (LCM) of 7144 and 7148 is 12766328.

LCM(7144,7148) = 12766328

LCM of 7144 and 7148

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

LCM of:
and

Least Common Multiple of 7144 and 7148

LCM of 7144 and 7148 is 12766328

Least common multiple can be found by multiplying the highest exponent prime factors of 7144 and 7148. First we will calculate the prime factors of 7144 and 7148.

Prime Factorization of 7144


2 7144
2 3572
2 1786
19 893
47 47
1

Prime factors of 7144 are 2, 19,47. Prime factorization of 7144 in exponential form is:

7144 = 23×191×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7144 and 7148.

LCM(7144,7148) = 23×191×471×17871
LCM(7144,7148) = 12766328

Factors of 7144

List of positive integer factors of 7144 that divides 7144 without a remainder.

1, 2, 4, 8, 19, 38, 47, 76, 94, 152, 188, 376, 893, 1786, 3572, 7144

Factors of 7148

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

1, 2, 4, 1787, 3574, 7148

Least Common Multiple of 7144 and 7148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7144 and 7148, than apply into the LCM equation.

GCF(7144,7148) = 4
LCM(7144,7148) = ( 7144 × 7148) / 4
LCM(7144,7148) = 51065312 / 4
LCM(7144,7148) = 12766328

Properties of LCM 7144 and 7148

(i) The LCM of 7148 and 7144 is associative

LCM of 7144 and 7148 = LCM of 7148 and 7144

Related Least Common Multiples of 7144

Related Least Common Multiples of 7148

Frequently Asked Questions on LCM of 7144 and 7148

1. What is the LCM of 7144 and 7148?

Answer: LCM of 7144 and 7148 is 12766328.

2. What are the Factors of 7144?

Answer: Factors of 7144 are 1, 2, 4, 8, 19, 38, 47, 76, 94, 152, 188, 376, 893, 1786, 3572, 7144. There are 16 integers that are factors of 7144. The greatest factor of 7144 is 7144.

3. 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.

4. How to Find the LCM of 7144 and 7148?

Answer:

Least Common Multiple of 7144 and 7148 = 12766328

Step 1: Find the prime factorization of 7144

7144 = 2 x 2 x 2 x 19 x 47

Step 2: Find the prime factorization of 7148

7148 = 2 x 2 x 1787

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

LCM = 12766328 = 2 x 2 x 2 x 19 x 47 x 1787

Step 4: Therefore, the least common multiple of 7144 and 7148 is 12766328.