Least Common Multiple of 4251 and 4253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4251 and 4253 the smallest integer that is 18079503 that is divisible by both numbers.

Least Common Multiple (LCM) of 4251 and 4253 is 18079503.

LCM(4251,4253) = 18079503

LCM of 4251 and 4253

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

LCM of:
and

Least Common Multiple of 4251 and 4253

LCM of 4251 and 4253 is 18079503

Least common multiple can be found by multiplying the highest exponent prime factors of 4251 and 4253. First we will calculate the prime factors of 4251 and 4253.

Prime Factorization of 4251


3 4251
13 1417
109 109
1

Prime factors of 4251 are 3, 13,109. Prime factorization of 4251 in exponential form is:

4251 = 31×131×1091

Prime Factorization of 4253


4253 4253
1

Prime factors of 4253 are 4253. Prime factorization of 4253 in exponential form is:

4253 = 42531

Now multiplying the highest exponent prime factors to calculate the LCM of 4251 and 4253.

LCM(4251,4253) = 31×131×1091×42531
LCM(4251,4253) = 18079503

Factors of 4251

List of positive integer factors of 4251 that divides 4251 without a remainder.

1, 3, 13, 39, 109, 327, 1417, 4251

Factors of 4253

List of positive integer factors of 4253 that divides 4253 without a remainder.

1, 4253

Least Common Multiple of 4251 and 4253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4251 and 4253, than apply into the LCM equation.

GCF(4251,4253) = 1
LCM(4251,4253) = ( 4251 × 4253) / 1
LCM(4251,4253) = 18079503 / 1
LCM(4251,4253) = 18079503

Properties of LCM 4251 and 4253

(i) The LCM of 4253 and 4251 is associative

LCM of 4251 and 4253 = LCM of 4253 and 4251

Related Least Common Multiples of 4251

Related Least Common Multiples of 4253

Frequently Asked Questions on LCM of 4251 and 4253

1. What is the LCM of 4251 and 4253?

Answer: LCM of 4251 and 4253 is 18079503.

2. What are the Factors of 4251?

Answer: Factors of 4251 are 1, 3, 13, 39, 109, 327, 1417, 4251. There are 8 integers that are factors of 4251. The greatest factor of 4251 is 4251.

3. What are the Factors of 4253?

Answer: Factors of 4253 are 1, 4253. There are 2 integers that are factors of 4253. The greatest factor of 4253 is 4253.

4. How to Find the LCM of 4251 and 4253?

Answer:

Least Common Multiple of 4251 and 4253 = 18079503

Step 1: Find the prime factorization of 4251

4251 = 3 x 13 x 109

Step 2: Find the prime factorization of 4253

4253 = 4253

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

LCM = 18079503 = 3 x 13 x 109 x 4253

Step 4: Therefore, the least common multiple of 4251 and 4253 is 18079503.