Least Common Multiple of 5208 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 5208 and 5215 the smallest integer that is 3879960 that is divisible by both numbers.

Least Common Multiple (LCM) of 5208 and 5215 is 3879960.

LCM(5208,5215) = 3879960

LCM of 5208 and 5215

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

LCM of:
and

Least Common Multiple of 5208 and 5215

LCM of 5208 and 5215 is 3879960

Least common multiple can be found by multiplying the highest exponent prime factors of 5208 and 5215. First we will calculate the prime factors of 5208 and 5215.

Prime Factorization of 5208


2 5208
2 2604
2 1302
3 651
7 217
31 31
1

Prime factors of 5208 are 2, 3, 7,31. Prime factorization of 5208 in exponential form is:

5208 = 23×31×71×311

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 5208 and 5215.

LCM(5208,5215) = 23×31×51×71×311×1491
LCM(5208,5215) = 3879960

Factors of 5208

List of positive integer factors of 5208 that divides 5208 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 31, 42, 56, 62, 84, 93, 124, 168, 186, 217, 248, 372, 434, 651, 744, 868, 1302, 1736, 2604, 5208

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 5208 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 5208 and 5215, than apply into the LCM equation.

GCF(5208,5215) = 7
LCM(5208,5215) = ( 5208 × 5215) / 7
LCM(5208,5215) = 27159720 / 7
LCM(5208,5215) = 3879960

Properties of LCM 5208 and 5215

(i) The LCM of 5215 and 5208 is associative

LCM of 5208 and 5215 = LCM of 5215 and 5208

Related Least Common Multiples of 5208

Related Least Common Multiples of 5215

Frequently Asked Questions on LCM of 5208 and 5215

1. What is the LCM of 5208 and 5215?

Answer: LCM of 5208 and 5215 is 3879960.

2. What are the Factors of 5208?

Answer: Factors of 5208 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 31, 42, 56, 62, 84, 93, 124, 168, 186, 217, 248, 372, 434, 651, 744, 868, 1302, 1736, 2604, 5208. There are 32 integers that are factors of 5208. The greatest factor of 5208 is 5208.

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 5208 and 5215?

Answer:

Least Common Multiple of 5208 and 5215 = 3879960

Step 1: Find the prime factorization of 5208

5208 = 2 x 2 x 2 x 3 x 7 x 31

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 = 3879960 = 2 x 2 x 2 x 3 x 5 x 7 x 31 x 149

Step 4: Therefore, the least common multiple of 5208 and 5215 is 3879960.