Least Common Multiple of 947 and 953

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 953 the smallest integer that is 902491 that is divisible by both numbers.

Least Common Multiple (LCM) of 947 and 953 is 902491.

LCM(947,953) = 902491

LCM of 947 and 953

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

LCM of:
and

Least Common Multiple of 947 and 953

LCM of 947 and 953 is 902491

Least common multiple can be found by multiplying the highest exponent prime factors of 947 and 953. First we will calculate the prime factors of 947 and 953.

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 953


953 953
1

Prime factors of 953 are 953. Prime factorization of 953 in exponential form is:

953 = 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 947 and 953.

LCM(947,953) = 9471×9531
LCM(947,953) = 902491

Factors of 947

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

1, 947

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1, 953

Least Common Multiple of 947 and 953 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 953, than apply into the LCM equation.

GCF(947,953) = 1
LCM(947,953) = ( 947 × 953) / 1
LCM(947,953) = 902491 / 1
LCM(947,953) = 902491

Properties of LCM 947 and 953

(i) The LCM of 953 and 947 is associative

LCM of 947 and 953 = LCM of 953 and 947

Related Least Common Multiples of 947

Related Least Common Multiples of 953

Frequently Asked Questions on LCM of 947 and 953

1. What is the LCM of 947 and 953?

Answer: LCM of 947 and 953 is 902491.

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 953?

Answer: Factors of 953 are 1, 953. There are 2 integers that are factors of 953. The greatest factor of 953 is 953.

4. How to Find the LCM of 947 and 953?

Answer:

Least Common Multiple of 947 and 953 = 902491

Step 1: Find the prime factorization of 947

947 = 947

Step 2: Find the prime factorization of 953

953 = 953

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

LCM = 902491 = 947 x 953

Step 4: Therefore, the least common multiple of 947 and 953 is 902491.