Least Common Multiple of 27051 and 27056

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 27051 and 27056 the smallest integer that is 731891856 that is divisible by both numbers.

Least Common Multiple (LCM) of 27051 and 27056 is 731891856.

LCM(27051,27056) = 731891856

LCM of 27051 and 27056

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

LCM of:
and

Least Common Multiple of 27051 and 27056

LCM of 27051 and 27056 is 731891856

Least common multiple can be found by multiplying the highest exponent prime factors of 27051 and 27056. First we will calculate the prime factors of 27051 and 27056.

Prime Factorization of 27051


3 27051
71 9017
127 127
1

Prime factors of 27051 are 3, 71,127. Prime factorization of 27051 in exponential form is:

27051 = 31×711×1271

Prime Factorization of 27056


2 27056
2 13528
2 6764
2 3382
19 1691
89 89
1

Prime factors of 27056 are 2, 19,89. Prime factorization of 27056 in exponential form is:

27056 = 24×191×891

Now multiplying the highest exponent prime factors to calculate the LCM of 27051 and 27056.

LCM(27051,27056) = 24×31×191×711×891×1271
LCM(27051,27056) = 731891856

Factors of 27051

List of positive integer factors of 27051 that divides 27051 without a remainder.

1, 3, 71, 127, 213, 381, 9017, 27051

Factors of 27056

List of positive integer factors of 27056 that divides 27056 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 89, 152, 178, 304, 356, 712, 1424, 1691, 3382, 6764, 13528, 27056

Least Common Multiple of 27051 and 27056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27051 and 27056, than apply into the LCM equation.

GCF(27051,27056) = 1
LCM(27051,27056) = ( 27051 × 27056) / 1
LCM(27051,27056) = 731891856 / 1
LCM(27051,27056) = 731891856

Properties of LCM 27051 and 27056

(i) The LCM of 27056 and 27051 is associative

LCM of 27051 and 27056 = LCM of 27056 and 27051

Related Least Common Multiples of 27051

Related Least Common Multiples of 27056

Frequently Asked Questions on LCM of 27051 and 27056

1. What is the LCM of 27051 and 27056?

Answer: LCM of 27051 and 27056 is 731891856.

2. What are the Factors of 27051?

Answer: Factors of 27051 are 1, 3, 71, 127, 213, 381, 9017, 27051. There are 8 integers that are factors of 27051. The greatest factor of 27051 is 27051.

3. What are the Factors of 27056?

Answer: Factors of 27056 are 1, 2, 4, 8, 16, 19, 38, 76, 89, 152, 178, 304, 356, 712, 1424, 1691, 3382, 6764, 13528, 27056. There are 20 integers that are factors of 27056. The greatest factor of 27056 is 27056.

4. How to Find the LCM of 27051 and 27056?

Answer:

Least Common Multiple of 27051 and 27056 = 731891856

Step 1: Find the prime factorization of 27051

27051 = 3 x 71 x 127

Step 2: Find the prime factorization of 27056

27056 = 2 x 2 x 2 x 2 x 19 x 89

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

LCM = 731891856 = 2 x 2 x 2 x 2 x 3 x 19 x 71 x 89 x 127

Step 4: Therefore, the least common multiple of 27051 and 27056 is 731891856.