Least Common Multiple of 15270 and 15276

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 15276 the smallest integer that is 38877420 that is divisible by both numbers.

Least Common Multiple (LCM) of 15270 and 15276 is 38877420.

LCM(15270,15276) = 38877420

LCM of 15270 and 15276

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

LCM of:
and

Least Common Multiple of 15270 and 15276

LCM of 15270 and 15276 is 38877420

Least common multiple can be found by multiplying the highest exponent prime factors of 15270 and 15276. First we will calculate the prime factors of 15270 and 15276.

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 15276


2 15276
2 7638
3 3819
19 1273
67 67
1

Prime factors of 15276 are 2, 3, 19,67. Prime factorization of 15276 in exponential form is:

15276 = 22×31×191×671

Now multiplying the highest exponent prime factors to calculate the LCM of 15270 and 15276.

LCM(15270,15276) = 22×31×51×191×671×5091
LCM(15270,15276) = 38877420

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 15276

List of positive integer factors of 15276 that divides 15276 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 67, 76, 114, 134, 201, 228, 268, 402, 804, 1273, 2546, 3819, 5092, 7638, 15276

Least Common Multiple of 15270 and 15276 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 15276, than apply into the LCM equation.

GCF(15270,15276) = 6
LCM(15270,15276) = ( 15270 × 15276) / 6
LCM(15270,15276) = 233264520 / 6
LCM(15270,15276) = 38877420

Properties of LCM 15270 and 15276

(i) The LCM of 15276 and 15270 is associative

LCM of 15270 and 15276 = LCM of 15276 and 15270

Related Least Common Multiples of 15270

Related Least Common Multiples of 15276

Frequently Asked Questions on LCM of 15270 and 15276

1. What is the LCM of 15270 and 15276?

Answer: LCM of 15270 and 15276 is 38877420.

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 15276?

Answer: Factors of 15276 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 67, 76, 114, 134, 201, 228, 268, 402, 804, 1273, 2546, 3819, 5092, 7638, 15276. There are 24 integers that are factors of 15276. The greatest factor of 15276 is 15276.

4. How to Find the LCM of 15270 and 15276?

Answer:

Least Common Multiple of 15270 and 15276 = 38877420

Step 1: Find the prime factorization of 15270

15270 = 2 x 3 x 5 x 509

Step 2: Find the prime factorization of 15276

15276 = 2 x 2 x 3 x 19 x 67

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

LCM = 38877420 = 2 x 2 x 3 x 5 x 19 x 67 x 509

Step 4: Therefore, the least common multiple of 15270 and 15276 is 38877420.