Least Common Multiple of 4201 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 4201 and 4207 the smallest integer that is 17673607 that is divisible by both numbers.

Least Common Multiple (LCM) of 4201 and 4207 is 17673607.

LCM(4201,4207) = 17673607

LCM of 4201 and 4207

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

LCM of:
and

Least Common Multiple of 4201 and 4207

LCM of 4201 and 4207 is 17673607

Least common multiple can be found by multiplying the highest exponent prime factors of 4201 and 4207. First we will calculate the prime factors of 4201 and 4207.

Prime Factorization of 4201


4201 4201
1

Prime factors of 4201 are 4201. Prime factorization of 4201 in exponential form is:

4201 = 42011

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 4201 and 4207.

LCM(4201,4207) = 71×6011×42011
LCM(4201,4207) = 17673607

Factors of 4201

List of positive integer factors of 4201 that divides 4201 without a remainder.

1, 4201

Factors of 4207

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

1, 7, 601, 4207

Least Common Multiple of 4201 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 4201 and 4207, than apply into the LCM equation.

GCF(4201,4207) = 1
LCM(4201,4207) = ( 4201 × 4207) / 1
LCM(4201,4207) = 17673607 / 1
LCM(4201,4207) = 17673607

Properties of LCM 4201 and 4207

(i) The LCM of 4207 and 4201 is associative

LCM of 4201 and 4207 = LCM of 4207 and 4201

Related Least Common Multiples of 4201

Related Least Common Multiples of 4207

Frequently Asked Questions on LCM of 4201 and 4207

1. What is the LCM of 4201 and 4207?

Answer: LCM of 4201 and 4207 is 17673607.

2. What are the Factors of 4201?

Answer: Factors of 4201 are 1, 4201. There are 2 integers that are factors of 4201. The greatest factor of 4201 is 4201.

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 4201 and 4207?

Answer:

Least Common Multiple of 4201 and 4207 = 17673607

Step 1: Find the prime factorization of 4201

4201 = 4201

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 = 17673607 = 7 x 601 x 4201

Step 4: Therefore, the least common multiple of 4201 and 4207 is 17673607.