Least Common Multiple of 947 and 952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 947 and 952 the smallest integer that is 901544 that is divisible by both numbers.

Least Common Multiple (LCM) of 947 and 952 is 901544.

LCM(947,952) = 901544

LCM of 947 and 952

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

LCM of:
and

Least Common Multiple of 947 and 952

LCM of 947 and 952 is 901544

Least common multiple can be found by multiplying the highest exponent prime factors of 947 and 952. First we will calculate the prime factors of 947 and 952.

Prime Factorization of 947


947 947
1

Prime factors of 947 are 947. Prime factorization of 947 in exponential form is:

947 = 9471

Prime Factorization of 952


2 952
2 476
2 238
7 119
17 17
1

Prime factors of 952 are 2, 7,17. Prime factorization of 952 in exponential form is:

952 = 23×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 947 and 952.

LCM(947,952) = 23×71×171×9471
LCM(947,952) = 901544

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1, 947

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Least Common Multiple of 947 and 952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 947 and 952, than apply into the LCM equation.

GCF(947,952) = 1
LCM(947,952) = ( 947 × 952) / 1
LCM(947,952) = 901544 / 1
LCM(947,952) = 901544

Properties of LCM 947 and 952

(i) The LCM of 952 and 947 is associative

LCM of 947 and 952 = LCM of 952 and 947

Related Least Common Multiples of 947

Related Least Common Multiples of 952

Frequently Asked Questions on LCM of 947 and 952

1. What is the LCM of 947 and 952?

Answer: LCM of 947 and 952 is 901544.

2. What are the Factors of 947?

Answer: Factors of 947 are 1, 947. There are 2 integers that are factors of 947. The greatest factor of 947 is 947.

3. What are the Factors of 952?

Answer: Factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952. There are 16 integers that are factors of 952. The greatest factor of 952 is 952.

4. How to Find the LCM of 947 and 952?

Answer:

Least Common Multiple of 947 and 952 = 901544

Step 1: Find the prime factorization of 947

947 = 947

Step 2: Find the prime factorization of 952

952 = 2 x 2 x 2 x 7 x 17

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

LCM = 901544 = 2 x 2 x 2 x 7 x 17 x 947

Step 4: Therefore, the least common multiple of 947 and 952 is 901544.