Least Common Multiple of 5207 and 5215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5207 and 5215 the smallest integer that is 27154505 that is divisible by both numbers.

Least Common Multiple (LCM) of 5207 and 5215 is 27154505.

LCM(5207,5215) = 27154505

LCM of 5207 and 5215

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

LCM of:
and

Least Common Multiple of 5207 and 5215

LCM of 5207 and 5215 is 27154505

Least common multiple can be found by multiplying the highest exponent prime factors of 5207 and 5215. First we will calculate the prime factors of 5207 and 5215.

Prime Factorization of 5207


41 5207
127 127
1

Prime factors of 5207 are 41,127. Prime factorization of 5207 in exponential form is:

5207 = 411×1271

Prime Factorization of 5215


5 5215
7 1043
149 149
1

Prime factors of 5215 are 5, 7,149. Prime factorization of 5215 in exponential form is:

5215 = 51×71×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 5207 and 5215.

LCM(5207,5215) = 51×71×411×1271×1491
LCM(5207,5215) = 27154505

Factors of 5207

List of positive integer factors of 5207 that divides 5207 without a remainder.

1, 41, 127, 5207

Factors of 5215

List of positive integer factors of 5215 that divides 5215 without a remainder.

1, 5, 7, 35, 149, 745, 1043, 5215

Least Common Multiple of 5207 and 5215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5207 and 5215, than apply into the LCM equation.

GCF(5207,5215) = 1
LCM(5207,5215) = ( 5207 × 5215) / 1
LCM(5207,5215) = 27154505 / 1
LCM(5207,5215) = 27154505

Properties of LCM 5207 and 5215

(i) The LCM of 5215 and 5207 is associative

LCM of 5207 and 5215 = LCM of 5215 and 5207

Related Least Common Multiples of 5207

Related Least Common Multiples of 5215

Frequently Asked Questions on LCM of 5207 and 5215

1. What is the LCM of 5207 and 5215?

Answer: LCM of 5207 and 5215 is 27154505.

2. What are the Factors of 5207?

Answer: Factors of 5207 are 1, 41, 127, 5207. There are 4 integers that are factors of 5207. The greatest factor of 5207 is 5207.

3. What are the Factors of 5215?

Answer: Factors of 5215 are 1, 5, 7, 35, 149, 745, 1043, 5215. There are 8 integers that are factors of 5215. The greatest factor of 5215 is 5215.

4. How to Find the LCM of 5207 and 5215?

Answer:

Least Common Multiple of 5207 and 5215 = 27154505

Step 1: Find the prime factorization of 5207

5207 = 41 x 127

Step 2: Find the prime factorization of 5215

5215 = 5 x 7 x 149

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

LCM = 27154505 = 5 x 7 x 41 x 127 x 149

Step 4: Therefore, the least common multiple of 5207 and 5215 is 27154505.