Least Common Multiple of 4203 and 4207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4203 and 4207 the smallest integer that is 17682021 that is divisible by both numbers.

Least Common Multiple (LCM) of 4203 and 4207 is 17682021.

LCM(4203,4207) = 17682021

LCM of 4203 and 4207

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

LCM of:
and

Least Common Multiple of 4203 and 4207

LCM of 4203 and 4207 is 17682021

Least common multiple can be found by multiplying the highest exponent prime factors of 4203 and 4207. First we will calculate the prime factors of 4203 and 4207.

Prime Factorization of 4203


3 4203
3 1401
467 467
1

Prime factors of 4203 are 3,467. Prime factorization of 4203 in exponential form is:

4203 = 32×4671

Prime Factorization of 4207


7 4207
601 601
1

Prime factors of 4207 are 7,601. Prime factorization of 4207 in exponential form is:

4207 = 71×6011

Now multiplying the highest exponent prime factors to calculate the LCM of 4203 and 4207.

LCM(4203,4207) = 32×71×4671×6011
LCM(4203,4207) = 17682021

Factors of 4203

List of positive integer factors of 4203 that divides 4203 without a remainder.

1, 3, 9, 467, 1401, 4203

Factors of 4207

List of positive integer factors of 4207 that divides 4207 without a remainder.

1, 7, 601, 4207

Least Common Multiple of 4203 and 4207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4203 and 4207, than apply into the LCM equation.

GCF(4203,4207) = 1
LCM(4203,4207) = ( 4203 × 4207) / 1
LCM(4203,4207) = 17682021 / 1
LCM(4203,4207) = 17682021

Properties of LCM 4203 and 4207

(i) The LCM of 4207 and 4203 is associative

LCM of 4203 and 4207 = LCM of 4207 and 4203

Related Least Common Multiples of 4203

Related Least Common Multiples of 4207

Frequently Asked Questions on LCM of 4203 and 4207

1. What is the LCM of 4203 and 4207?

Answer: LCM of 4203 and 4207 is 17682021.

2. What are the Factors of 4203?

Answer: Factors of 4203 are 1, 3, 9, 467, 1401, 4203. There are 6 integers that are factors of 4203. The greatest factor of 4203 is 4203.

3. What are the Factors of 4207?

Answer: Factors of 4207 are 1, 7, 601, 4207. There are 4 integers that are factors of 4207. The greatest factor of 4207 is 4207.

4. How to Find the LCM of 4203 and 4207?

Answer:

Least Common Multiple of 4203 and 4207 = 17682021

Step 1: Find the prime factorization of 4203

4203 = 3 x 3 x 467

Step 2: Find the prime factorization of 4207

4207 = 7 x 601

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

LCM = 17682021 = 3 x 3 x 7 x 467 x 601

Step 4: Therefore, the least common multiple of 4203 and 4207 is 17682021.