Least Common Multiple of 4250 and 4257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4250 and 4257 the smallest integer that is 18092250 that is divisible by both numbers.

Least Common Multiple (LCM) of 4250 and 4257 is 18092250.

LCM(4250,4257) = 18092250

LCM of 4250 and 4257

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

LCM of:
and

Least Common Multiple of 4250 and 4257

LCM of 4250 and 4257 is 18092250

Least common multiple can be found by multiplying the highest exponent prime factors of 4250 and 4257. First we will calculate the prime factors of 4250 and 4257.

Prime Factorization of 4250


2 4250
5 2125
5 425
5 85
17 17
1

Prime factors of 4250 are 2, 5,17. Prime factorization of 4250 in exponential form is:

4250 = 21×53×171

Prime Factorization of 4257


3 4257
3 1419
11 473
43 43
1

Prime factors of 4257 are 3, 11,43. Prime factorization of 4257 in exponential form is:

4257 = 32×111×431

Now multiplying the highest exponent prime factors to calculate the LCM of 4250 and 4257.

LCM(4250,4257) = 21×32×53×111×171×431
LCM(4250,4257) = 18092250

Factors of 4250

List of positive integer factors of 4250 that divides 4250 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 125, 170, 250, 425, 850, 2125, 4250

Factors of 4257

List of positive integer factors of 4257 that divides 4257 without a remainder.

1, 3, 9, 11, 33, 43, 99, 129, 387, 473, 1419, 4257

Least Common Multiple of 4250 and 4257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4250 and 4257, than apply into the LCM equation.

GCF(4250,4257) = 1
LCM(4250,4257) = ( 4250 × 4257) / 1
LCM(4250,4257) = 18092250 / 1
LCM(4250,4257) = 18092250

Properties of LCM 4250 and 4257

(i) The LCM of 4257 and 4250 is associative

LCM of 4250 and 4257 = LCM of 4257 and 4250

Related Least Common Multiples of 4250

Related Least Common Multiples of 4257

Frequently Asked Questions on LCM of 4250 and 4257

1. What is the LCM of 4250 and 4257?

Answer: LCM of 4250 and 4257 is 18092250.

2. What are the Factors of 4250?

Answer: Factors of 4250 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 125, 170, 250, 425, 850, 2125, 4250. There are 16 integers that are factors of 4250. The greatest factor of 4250 is 4250.

3. What are the Factors of 4257?

Answer: Factors of 4257 are 1, 3, 9, 11, 33, 43, 99, 129, 387, 473, 1419, 4257. There are 12 integers that are factors of 4257. The greatest factor of 4257 is 4257.

4. How to Find the LCM of 4250 and 4257?

Answer:

Least Common Multiple of 4250 and 4257 = 18092250

Step 1: Find the prime factorization of 4250

4250 = 2 x 5 x 5 x 5 x 17

Step 2: Find the prime factorization of 4257

4257 = 3 x 3 x 11 x 43

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

LCM = 18092250 = 2 x 3 x 3 x 5 x 5 x 5 x 11 x 17 x 43

Step 4: Therefore, the least common multiple of 4250 and 4257 is 18092250.