Least Common Multiple of 15207 and 15214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15207 and 15214 the smallest integer that is 231359298 that is divisible by both numbers.

Least Common Multiple (LCM) of 15207 and 15214 is 231359298.

LCM(15207,15214) = 231359298

LCM of 15207 and 15214

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

LCM of:
and

Least Common Multiple of 15207 and 15214

LCM of 15207 and 15214 is 231359298

Least common multiple can be found by multiplying the highest exponent prime factors of 15207 and 15214. First we will calculate the prime factors of 15207 and 15214.

Prime Factorization of 15207


3 15207
37 5069
137 137
1

Prime factors of 15207 are 3, 37,137. Prime factorization of 15207 in exponential form is:

15207 = 31×371×1371

Prime Factorization of 15214


2 15214
7607 7607
1

Prime factors of 15214 are 2,7607. Prime factorization of 15214 in exponential form is:

15214 = 21×76071

Now multiplying the highest exponent prime factors to calculate the LCM of 15207 and 15214.

LCM(15207,15214) = 21×31×371×1371×76071
LCM(15207,15214) = 231359298

Factors of 15207

List of positive integer factors of 15207 that divides 15207 without a remainder.

1, 3, 37, 111, 137, 411, 5069, 15207

Factors of 15214

List of positive integer factors of 15214 that divides 15214 without a remainder.

1, 2, 7607, 15214

Least Common Multiple of 15207 and 15214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15207 and 15214, than apply into the LCM equation.

GCF(15207,15214) = 1
LCM(15207,15214) = ( 15207 × 15214) / 1
LCM(15207,15214) = 231359298 / 1
LCM(15207,15214) = 231359298

Properties of LCM 15207 and 15214

(i) The LCM of 15214 and 15207 is associative

LCM of 15207 and 15214 = LCM of 15214 and 15207

Related Least Common Multiples of 15207

Related Least Common Multiples of 15214

Frequently Asked Questions on LCM of 15207 and 15214

1. What is the LCM of 15207 and 15214?

Answer: LCM of 15207 and 15214 is 231359298.

2. What are the Factors of 15207?

Answer: Factors of 15207 are 1, 3, 37, 111, 137, 411, 5069, 15207. There are 8 integers that are factors of 15207. The greatest factor of 15207 is 15207.

3. What are the Factors of 15214?

Answer: Factors of 15214 are 1, 2, 7607, 15214. There are 4 integers that are factors of 15214. The greatest factor of 15214 is 15214.

4. How to Find the LCM of 15207 and 15214?

Answer:

Least Common Multiple of 15207 and 15214 = 231359298

Step 1: Find the prime factorization of 15207

15207 = 3 x 37 x 137

Step 2: Find the prime factorization of 15214

15214 = 2 x 7607

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

LCM = 231359298 = 2 x 3 x 37 x 137 x 7607

Step 4: Therefore, the least common multiple of 15207 and 15214 is 231359298.