Least Common Multiple of 27014 and 27015

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

• Least Common Multiple of 27014 and 27015 by Prime method
• Least Common Multiple of 27014 and 27015 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 27014 and 27015. First we will calculate the prime factors of 27014 and 27015.

Prime Factorization of 27014

Prime factors of 27014 are 2, 13,1039. Prime factorization of 27014 in exponential form is:

27014 = 2¹×13¹×1039¹

Prime Factorization of 27015

Prime factors of 27015 are 3, 5,1801. Prime factorization of 27015 in exponential form is:

27015 = 3¹×5¹×1801¹

Now multiplying the highest exponent prime factors to calculate the LCM of 27014 and 27015.

LCM(27014,27015) = 2¹×3¹×5¹×13¹×1039¹×1801¹
LCM(27014,27015) = 729783210

Factors of 27014

List of positive integer factors of 27014 that divides 27014 without a remainder.

1, 2, 13, 26, 1039, 2078, 13507, 27014

Factors of 27015

List of positive integer factors of 27015 that divides 27015 without a remainder.

1, 3, 5, 15, 1801, 5403, 9005, 27015

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27014 and 27015, than apply into the LCM equation.

GCF(27014,27015) = 1
LCM(27014,27015) = ( 27014 × 27015) / 1
LCM(27014,27015) = 729783210 / 1
LCM(27014,27015) = 729783210

(i) The LCM of 27015 and 27014 is associative

LCM of 27014 and 27015 = LCM of 27015 and 27014

1. What is the LCM of 27014 and 27015?

Answer: LCM of 27014 and 27015 is 729783210.

2. What are the Factors of 27014?

Answer: Factors of 27014 are 1, 2, 13, 26, 1039, 2078, 13507, 27014. There are 8 integers that are factors of 27014. The greatest factor of 27014 is 27014.

3. What are the Factors of 27015?

Answer: Factors of 27015 are 1, 3, 5, 15, 1801, 5403, 9005, 27015. There are 8 integers that are factors of 27015. The greatest factor of 27015 is 27015.

4. How to Find the LCM of 27014 and 27015?

Answer:

Least Common Multiple of 27014 and 27015 = 729783210

Step 1: Find the prime factorization of 27014

27014 = 2 x 13 x 1039

Step 2: Find the prime factorization of 27015

27015 = 3 x 5 x 1801

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

LCM = 729783210 = 2 x 3 x 5 x 13 x 1039 x 1801

Step 4: Therefore, the least common multiple of 27014 and 27015 is 729783210.