Least Common Multiple of 7136 and 7144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7136 and 7144 the smallest integer that is 6372448 that is divisible by both numbers.

Least Common Multiple (LCM) of 7136 and 7144 is 6372448.

LCM(7136,7144) = 6372448

LCM of 7136 and 7144

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

LCM of:
and

Least Common Multiple of 7136 and 7144

LCM of 7136 and 7144 is 6372448

Least common multiple can be found by multiplying the highest exponent prime factors of 7136 and 7144. First we will calculate the prime factors of 7136 and 7144.

Prime Factorization of 7136


2 7136
2 3568
2 1784
2 892
2 446
223 223
1

Prime factors of 7136 are 2,223. Prime factorization of 7136 in exponential form is:

7136 = 25×2231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7136 and 7144.

LCM(7136,7144) = 25×191×471×2231
LCM(7136,7144) = 6372448

Factors of 7136

List of positive integer factors of 7136 that divides 7136 without a remainder.

1, 2, 4, 8, 16, 32, 223, 446, 892, 1784, 3568, 7136

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

Least Common Multiple of 7136 and 7144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7136 and 7144, than apply into the LCM equation.

GCF(7136,7144) = 8
LCM(7136,7144) = ( 7136 × 7144) / 8
LCM(7136,7144) = 50979584 / 8
LCM(7136,7144) = 6372448

Properties of LCM 7136 and 7144

(i) The LCM of 7144 and 7136 is associative

LCM of 7136 and 7144 = LCM of 7144 and 7136

Related Least Common Multiples of 7136

Related Least Common Multiples of 7144

Frequently Asked Questions on LCM of 7136 and 7144

1. What is the LCM of 7136 and 7144?

Answer: LCM of 7136 and 7144 is 6372448.

2. What are the Factors of 7136?

Answer: Factors of 7136 are 1, 2, 4, 8, 16, 32, 223, 446, 892, 1784, 3568, 7136. There are 12 integers that are factors of 7136. The greatest factor of 7136 is 7136.

3. 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.

4. How to Find the LCM of 7136 and 7144?

Answer:

Least Common Multiple of 7136 and 7144 = 6372448

Step 1: Find the prime factorization of 7136

7136 = 2 x 2 x 2 x 2 x 2 x 223

Step 2: Find the prime factorization of 7144

7144 = 2 x 2 x 2 x 19 x 47

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

LCM = 6372448 = 2 x 2 x 2 x 2 x 2 x 19 x 47 x 223

Step 4: Therefore, the least common multiple of 7136 and 7144 is 6372448.