Least Common Multiple of 15270 and 15278

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 15278 the smallest integer that is 116647530 that is divisible by both numbers.

Least Common Multiple (LCM) of 15270 and 15278 is 116647530.

LCM(15270,15278) = 116647530

LCM of 15270 and 15278

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

LCM of:
and

Least Common Multiple of 15270 and 15278

LCM of 15270 and 15278 is 116647530

Least common multiple can be found by multiplying the highest exponent prime factors of 15270 and 15278. First we will calculate the prime factors of 15270 and 15278.

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 15278


2 15278
7639 7639
1

Prime factors of 15278 are 2,7639. Prime factorization of 15278 in exponential form is:

15278 = 21×76391

Now multiplying the highest exponent prime factors to calculate the LCM of 15270 and 15278.

LCM(15270,15278) = 21×31×51×5091×76391
LCM(15270,15278) = 116647530

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 15278

List of positive integer factors of 15278 that divides 15278 without a remainder.

1, 2, 7639, 15278

Least Common Multiple of 15270 and 15278 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 15278, than apply into the LCM equation.

GCF(15270,15278) = 2
LCM(15270,15278) = ( 15270 × 15278) / 2
LCM(15270,15278) = 233295060 / 2
LCM(15270,15278) = 116647530

Properties of LCM 15270 and 15278

(i) The LCM of 15278 and 15270 is associative

LCM of 15270 and 15278 = LCM of 15278 and 15270

Related Least Common Multiples of 15270

Related Least Common Multiples of 15278

Frequently Asked Questions on LCM of 15270 and 15278

1. What is the LCM of 15270 and 15278?

Answer: LCM of 15270 and 15278 is 116647530.

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 15278?

Answer: Factors of 15278 are 1, 2, 7639, 15278. There are 4 integers that are factors of 15278. The greatest factor of 15278 is 15278.

4. How to Find the LCM of 15270 and 15278?

Answer:

Least Common Multiple of 15270 and 15278 = 116647530

Step 1: Find the prime factorization of 15270

15270 = 2 x 3 x 5 x 509

Step 2: Find the prime factorization of 15278

15278 = 2 x 7639

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

LCM = 116647530 = 2 x 3 x 5 x 509 x 7639

Step 4: Therefore, the least common multiple of 15270 and 15278 is 116647530.