Least Common Multiple of 15270 and 15274

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 15274 the smallest integer that is 116616990 that is divisible by both numbers.

Least Common Multiple (LCM) of 15270 and 15274 is 116616990.

LCM(15270,15274) = 116616990

LCM of 15270 and 15274

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

LCM of:
and

Least Common Multiple of 15270 and 15274

LCM of 15270 and 15274 is 116616990

Least common multiple can be found by multiplying the highest exponent prime factors of 15270 and 15274. First we will calculate the prime factors of 15270 and 15274.

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 15274


2 15274
7 7637
1091 1091
1

Prime factors of 15274 are 2, 7,1091. Prime factorization of 15274 in exponential form is:

15274 = 21×71×10911

Now multiplying the highest exponent prime factors to calculate the LCM of 15270 and 15274.

LCM(15270,15274) = 21×31×51×71×5091×10911
LCM(15270,15274) = 116616990

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 15274

List of positive integer factors of 15274 that divides 15274 without a remainder.

1, 2, 7, 14, 1091, 2182, 7637, 15274

Least Common Multiple of 15270 and 15274 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 15274, than apply into the LCM equation.

GCF(15270,15274) = 2
LCM(15270,15274) = ( 15270 × 15274) / 2
LCM(15270,15274) = 233233980 / 2
LCM(15270,15274) = 116616990

Properties of LCM 15270 and 15274

(i) The LCM of 15274 and 15270 is associative

LCM of 15270 and 15274 = LCM of 15274 and 15270

Related Least Common Multiples of 15270

Related Least Common Multiples of 15274

Frequently Asked Questions on LCM of 15270 and 15274

1. What is the LCM of 15270 and 15274?

Answer: LCM of 15270 and 15274 is 116616990.

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 15274?

Answer: Factors of 15274 are 1, 2, 7, 14, 1091, 2182, 7637, 15274. There are 8 integers that are factors of 15274. The greatest factor of 15274 is 15274.

4. How to Find the LCM of 15270 and 15274?

Answer:

Least Common Multiple of 15270 and 15274 = 116616990

Step 1: Find the prime factorization of 15270

15270 = 2 x 3 x 5 x 509

Step 2: Find the prime factorization of 15274

15274 = 2 x 7 x 1091

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

LCM = 116616990 = 2 x 3 x 5 x 7 x 509 x 1091

Step 4: Therefore, the least common multiple of 15270 and 15274 is 116616990.