Least Common Multiple of 15270 and 15275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15270 and 15275 the smallest integer that is 46649850 that is divisible by both numbers.

Least Common Multiple (LCM) of 15270 and 15275 is 46649850.

LCM(15270,15275) = 46649850

LCM of 15270 and 15275

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

LCM of:
and

Least Common Multiple of 15270 and 15275

LCM of 15270 and 15275 is 46649850

Least common multiple can be found by multiplying the highest exponent prime factors of 15270 and 15275. First we will calculate the prime factors of 15270 and 15275.

Prime Factorization of 15270


2 15270
3 7635
5 2545
509 509
1

Prime factors of 15270 are 2, 3, 5,509. Prime factorization of 15270 in exponential form is:

15270 = 21×31×51×5091

Prime Factorization of 15275


5 15275
5 3055
13 611
47 47
1

Prime factors of 15275 are 5, 13,47. Prime factorization of 15275 in exponential form is:

15275 = 52×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 15270 and 15275.

LCM(15270,15275) = 21×31×52×131×471×5091
LCM(15270,15275) = 46649850

Factors of 15270

List of positive integer factors of 15270 that divides 15270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 509, 1018, 1527, 2545, 3054, 5090, 7635, 15270

Factors of 15275

List of positive integer factors of 15275 that divides 15275 without a remainder.

1, 5, 13, 25, 47, 65, 235, 325, 611, 1175, 3055, 15275

Least Common Multiple of 15270 and 15275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15270 and 15275, than apply into the LCM equation.

GCF(15270,15275) = 5
LCM(15270,15275) = ( 15270 × 15275) / 5
LCM(15270,15275) = 233249250 / 5
LCM(15270,15275) = 46649850

Properties of LCM 15270 and 15275

(i) The LCM of 15275 and 15270 is associative

LCM of 15270 and 15275 = LCM of 15275 and 15270

Related Least Common Multiples of 15270

Related Least Common Multiples of 15275

Frequently Asked Questions on LCM of 15270 and 15275

1. What is the LCM of 15270 and 15275?

Answer: LCM of 15270 and 15275 is 46649850.

2. What are the Factors of 15270?

Answer: Factors of 15270 are 1, 2, 3, 5, 6, 10, 15, 30, 509, 1018, 1527, 2545, 3054, 5090, 7635, 15270. There are 16 integers that are factors of 15270. The greatest factor of 15270 is 15270.

3. What are the Factors of 15275?

Answer: Factors of 15275 are 1, 5, 13, 25, 47, 65, 235, 325, 611, 1175, 3055, 15275. There are 12 integers that are factors of 15275. The greatest factor of 15275 is 15275.

4. How to Find the LCM of 15270 and 15275?

Answer:

Least Common Multiple of 15270 and 15275 = 46649850

Step 1: Find the prime factorization of 15270

15270 = 2 x 3 x 5 x 509

Step 2: Find the prime factorization of 15275

15275 = 5 x 5 x 13 x 47

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

LCM = 46649850 = 2 x 3 x 5 x 5 x 13 x 47 x 509

Step 4: Therefore, the least common multiple of 15270 and 15275 is 46649850.