Least Common Multiple of 51 and 57

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 51 and 57 the smallest integer that is 969 that is divisible by both numbers.

Least Common Multiple (LCM) of 51 and 57 is 969.

LCM(51,57) = 969

LCM of 51 and 57

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

LCM of:
and

Least Common Multiple of 51 and 57

LCM of 51 and 57 is 969

Least common multiple can be found by multiplying the highest exponent prime factors of 51 and 57. First we will calculate the prime factors of 51 and 57.

Prime Factorization of 51


3 51
17 17
1

Prime factors of 51 are 3,17. Prime factorization of 51 in exponential form is:

51 = 31×171

Prime Factorization of 57


3 57
19 19
1

Prime factors of 57 are 3,19. Prime factorization of 57 in exponential form is:

57 = 31×191

Now multiplying the highest exponent prime factors to calculate the LCM of 51 and 57.

LCM(51,57) = 31×171×191
LCM(51,57) = 969

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Least Common Multiple of 51 and 57 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51 and 57, than apply into the LCM equation.

GCF(51,57) = 3
LCM(51,57) = ( 51 × 57) / 3
LCM(51,57) = 2907 / 3
LCM(51,57) = 969

Properties of LCM 51 and 57

(i) The LCM of 57 and 51 is associative

LCM of 51 and 57 = LCM of 57 and 51

Related Least Common Multiples of 51

Related Least Common Multiples of 57

Frequently Asked Questions on LCM of 51 and 57

1. What is the LCM of 51 and 57?

Answer: LCM of 51 and 57 is 969.

2. What are the Factors of 51?

Answer: Factors of 51 are 1, 3, 17, 51. There are 4 integers that are factors of 51. The greatest factor of 51 is 51.

3. What are the Factors of 57?

Answer: Factors of 57 are 1, 3, 19, 57. There are 4 integers that are factors of 57. The greatest factor of 57 is 57.

4. How to Find the LCM of 51 and 57?

Answer:

Least Common Multiple of 51 and 57 = 969

Step 1: Find the prime factorization of 51

51 = 3 x 17

Step 2: Find the prime factorization of 57

57 = 3 x 19

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

LCM = 969 = 3 x 17 x 19

Step 4: Therefore, the least common multiple of 51 and 57 is 969.