Least Common Multiple of 8963 and 8970

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

• Least Common Multiple of 8963 and 8970 by Prime method
• Least Common Multiple of 8963 and 8970 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 8963 and 8970. First we will calculate the prime factors of 8963 and 8970.

Prime Factorization of 8963

Prime factors of 8963 are 8963. Prime factorization of 8963 in exponential form is:

8963 = 8963¹

Prime Factorization of 8970

Prime factors of 8970 are 2, 3, 5, 13,23. Prime factorization of 8970 in exponential form is:

8970 = 2¹×3¹×5¹×13¹×23¹

Now multiplying the highest exponent prime factors to calculate the LCM of 8963 and 8970.

LCM(8963,8970) = 2¹×3¹×5¹×13¹×23¹×8963¹
LCM(8963,8970) = 80398110

Factors of 8963

List of positive integer factors of 8963 that divides 8963 without a remainder.

1, 8963

Factors of 8970

List of positive integer factors of 8970 that divides 8970 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485, 8970

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8963 and 8970, than apply into the LCM equation.

GCF(8963,8970) = 1
LCM(8963,8970) = ( 8963 × 8970) / 1
LCM(8963,8970) = 80398110 / 1
LCM(8963,8970) = 80398110

(i) The LCM of 8970 and 8963 is associative

LCM of 8963 and 8970 = LCM of 8970 and 8963

1. What is the LCM of 8963 and 8970?

Answer: LCM of 8963 and 8970 is 80398110.

2. What are the Factors of 8963?

Answer: Factors of 8963 are 1, 8963. There are 2 integers that are factors of 8963. The greatest factor of 8963 is 8963.

3. What are the Factors of 8970?

Answer: Factors of 8970 are 1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485, 8970. There are 32 integers that are factors of 8970. The greatest factor of 8970 is 8970.

4. How to Find the LCM of 8963 and 8970?

Answer:

Least Common Multiple of 8963 and 8970 = 80398110

Step 1: Find the prime factorization of 8963

8963 = 8963

Step 2: Find the prime factorization of 8970

8970 = 2 x 3 x 5 x 13 x 23

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

LCM = 80398110 = 2 x 3 x 5 x 13 x 23 x 8963

Step 4: Therefore, the least common multiple of 8963 and 8970 is 80398110.