Least Common Multiple of 7144 and 7152

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 7152 the smallest integer that is 6386736 that is divisible by both numbers.

Least Common Multiple (LCM) of 7144 and 7152 is 6386736.

LCM(7144,7152) = 6386736

LCM of 7144 and 7152

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

LCM of:
and

Least Common Multiple of 7144 and 7152

LCM of 7144 and 7152 is 6386736

Least common multiple can be found by multiplying the highest exponent prime factors of 7144 and 7152. First we will calculate the prime factors of 7144 and 7152.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 7144 and 7152.

LCM(7144,7152) = 24×31×191×471×1491
LCM(7144,7152) = 6386736

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 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

Least Common Multiple of 7144 and 7152 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 7152, than apply into the LCM equation.

GCF(7144,7152) = 8
LCM(7144,7152) = ( 7144 × 7152) / 8
LCM(7144,7152) = 51093888 / 8
LCM(7144,7152) = 6386736

Properties of LCM 7144 and 7152

(i) The LCM of 7152 and 7144 is associative

LCM of 7144 and 7152 = LCM of 7152 and 7144

Related Least Common Multiples of 7144

Related Least Common Multiples of 7152

Frequently Asked Questions on LCM of 7144 and 7152

1. What is the LCM of 7144 and 7152?

Answer: LCM of 7144 and 7152 is 6386736.

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 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.

4. How to Find the LCM of 7144 and 7152?

Answer:

Least Common Multiple of 7144 and 7152 = 6386736

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 7152

7152 = 2 x 2 x 2 x 2 x 3 x 149

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

LCM = 6386736 = 2 x 2 x 2 x 2 x 3 x 19 x 47 x 149

Step 4: Therefore, the least common multiple of 7144 and 7152 is 6386736.