Least Common Multiple of 4207 and 4214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4207 and 4214 the smallest integer that is 2532614 that is divisible by both numbers.

Least Common Multiple (LCM) of 4207 and 4214 is 2532614.

LCM(4207,4214) = 2532614

LCM of 4207 and 4214

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

LCM of:
and

Least Common Multiple of 4207 and 4214

LCM of 4207 and 4214 is 2532614

Least common multiple can be found by multiplying the highest exponent prime factors of 4207 and 4214. First we will calculate the prime factors of 4207 and 4214.

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

Prime Factorization of 4214


2 4214
7 2107
7 301
43 43
1

Prime factors of 4214 are 2, 7,43. Prime factorization of 4214 in exponential form is:

4214 = 21×72×431

Now multiplying the highest exponent prime factors to calculate the LCM of 4207 and 4214.

LCM(4207,4214) = 21×72×431×6011
LCM(4207,4214) = 2532614

Factors of 4207

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

1, 7, 601, 4207

Factors of 4214

List of positive integer factors of 4214 that divides 4214 without a remainder.

1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107, 4214

Least Common Multiple of 4207 and 4214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4207 and 4214, than apply into the LCM equation.

GCF(4207,4214) = 7
LCM(4207,4214) = ( 4207 × 4214) / 7
LCM(4207,4214) = 17728298 / 7
LCM(4207,4214) = 2532614

Properties of LCM 4207 and 4214

(i) The LCM of 4214 and 4207 is associative

LCM of 4207 and 4214 = LCM of 4214 and 4207

Related Least Common Multiples of 4207

Related Least Common Multiples of 4214

Frequently Asked Questions on LCM of 4207 and 4214

1. What is the LCM of 4207 and 4214?

Answer: LCM of 4207 and 4214 is 2532614.

2. 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.

3. What are the Factors of 4214?

Answer: Factors of 4214 are 1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107, 4214. There are 12 integers that are factors of 4214. The greatest factor of 4214 is 4214.

4. How to Find the LCM of 4207 and 4214?

Answer:

Least Common Multiple of 4207 and 4214 = 2532614

Step 1: Find the prime factorization of 4207

4207 = 7 x 601

Step 2: Find the prime factorization of 4214

4214 = 2 x 7 x 7 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 = 2532614 = 2 x 7 x 7 x 43 x 601

Step 4: Therefore, the least common multiple of 4207 and 4214 is 2532614.