Least Common Multiple of 4147 and 4152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4147 and 4152 the smallest integer that is 17218344 that is divisible by both numbers.

Least Common Multiple (LCM) of 4147 and 4152 is 17218344.

LCM(4147,4152) = 17218344

LCM of 4147 and 4152

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

LCM of:
and

Least Common Multiple of 4147 and 4152

LCM of 4147 and 4152 is 17218344

Least common multiple can be found by multiplying the highest exponent prime factors of 4147 and 4152. First we will calculate the prime factors of 4147 and 4152.

Prime Factorization of 4147


11 4147
13 377
29 29
1

Prime factors of 4147 are 11, 13,29. Prime factorization of 4147 in exponential form is:

4147 = 111×131×291

Prime Factorization of 4152


2 4152
2 2076
2 1038
3 519
173 173
1

Prime factors of 4152 are 2, 3,173. Prime factorization of 4152 in exponential form is:

4152 = 23×31×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 4147 and 4152.

LCM(4147,4152) = 23×31×111×131×291×1731
LCM(4147,4152) = 17218344

Factors of 4147

List of positive integer factors of 4147 that divides 4147 without a remainder.

1, 11, 13, 29, 143, 319, 377, 4147

Factors of 4152

List of positive integer factors of 4152 that divides 4152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 173, 346, 519, 692, 1038, 1384, 2076, 4152

Least Common Multiple of 4147 and 4152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4147 and 4152, than apply into the LCM equation.

GCF(4147,4152) = 1
LCM(4147,4152) = ( 4147 × 4152) / 1
LCM(4147,4152) = 17218344 / 1
LCM(4147,4152) = 17218344

Properties of LCM 4147 and 4152

(i) The LCM of 4152 and 4147 is associative

LCM of 4147 and 4152 = LCM of 4152 and 4147

Related Least Common Multiples of 4147

Related Least Common Multiples of 4152

Frequently Asked Questions on LCM of 4147 and 4152

1. What is the LCM of 4147 and 4152?

Answer: LCM of 4147 and 4152 is 17218344.

2. What are the Factors of 4147?

Answer: Factors of 4147 are 1, 11, 13, 29, 143, 319, 377, 4147. There are 8 integers that are factors of 4147. The greatest factor of 4147 is 4147.

3. What are the Factors of 4152?

Answer: Factors of 4152 are 1, 2, 3, 4, 6, 8, 12, 24, 173, 346, 519, 692, 1038, 1384, 2076, 4152. There are 16 integers that are factors of 4152. The greatest factor of 4152 is 4152.

4. How to Find the LCM of 4147 and 4152?

Answer:

Least Common Multiple of 4147 and 4152 = 17218344

Step 1: Find the prime factorization of 4147

4147 = 11 x 13 x 29

Step 2: Find the prime factorization of 4152

4152 = 2 x 2 x 2 x 3 x 173

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

LCM = 17218344 = 2 x 2 x 2 x 3 x 11 x 13 x 29 x 173

Step 4: Therefore, the least common multiple of 4147 and 4152 is 17218344.