Least Common Multiple of 2957 and 2964

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

• Least Common Multiple of 2957 and 2964 by Prime method
• Least Common Multiple of 2957 and 2964 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 2957 and 2964. First we will calculate the prime factors of 2957 and 2964.

Prime Factorization of 2957

Prime factors of 2957 are 2957. Prime factorization of 2957 in exponential form is:

2957 = 2957¹

Prime Factorization of 2964

Prime factors of 2964 are 2, 3, 13,19. Prime factorization of 2964 in exponential form is:

2964 = 2²×3¹×13¹×19¹

Now multiplying the highest exponent prime factors to calculate the LCM of 2957 and 2964.

LCM(2957,2964) = 2²×3¹×13¹×19¹×2957¹
LCM(2957,2964) = 8764548

Factors of 2957

List of positive integer factors of 2957 that divides 2957 without a remainder.

1, 2957

Factors of 2964

List of positive integer factors of 2964 that divides 2964 without a remainder.

1, 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114, 156, 228, 247, 494, 741, 988, 1482, 2964

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2957 and 2964, than apply into the LCM equation.

GCF(2957,2964) = 1
LCM(2957,2964) = ( 2957 × 2964) / 1
LCM(2957,2964) = 8764548 / 1
LCM(2957,2964) = 8764548

(i) The LCM of 2964 and 2957 is associative

LCM of 2957 and 2964 = LCM of 2964 and 2957

1. What is the LCM of 2957 and 2964?

Answer: LCM of 2957 and 2964 is 8764548.

2. What are the Factors of 2957?

Answer: Factors of 2957 are 1, 2957. There are 2 integers that are factors of 2957. The greatest factor of 2957 is 2957.

3. What are the Factors of 2964?

Answer: Factors of 2964 are 1, 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114, 156, 228, 247, 494, 741, 988, 1482, 2964. There are 24 integers that are factors of 2964. The greatest factor of 2964 is 2964.

4. How to Find the LCM of 2957 and 2964?

Answer:

Least Common Multiple of 2957 and 2964 = 8764548

Step 1: Find the prime factorization of 2957

2957 = 2957

Step 2: Find the prime factorization of 2964

2964 = 2 x 2 x 3 x 13 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 = 8764548 = 2 x 2 x 3 x 13 x 19 x 2957

Step 4: Therefore, the least common multiple of 2957 and 2964 is 8764548.