Least Common Multiple of 947 and 951

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 951 the smallest integer that is 900597 that is divisible by both numbers.

Least Common Multiple (LCM) of 947 and 951 is 900597.

LCM(947,951) = 900597

LCM of 947 and 951

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

LCM of:
and

Least Common Multiple of 947 and 951

LCM of 947 and 951 is 900597

Least common multiple can be found by multiplying the highest exponent prime factors of 947 and 951. First we will calculate the prime factors of 947 and 951.

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 951


3 951
317 317
1

Prime factors of 951 are 3,317. Prime factorization of 951 in exponential form is:

951 = 31×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 947 and 951.

LCM(947,951) = 31×3171×9471
LCM(947,951) = 900597

Factors of 947

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

1, 947

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Least Common Multiple of 947 and 951 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 951, than apply into the LCM equation.

GCF(947,951) = 1
LCM(947,951) = ( 947 × 951) / 1
LCM(947,951) = 900597 / 1
LCM(947,951) = 900597

Properties of LCM 947 and 951

(i) The LCM of 951 and 947 is associative

LCM of 947 and 951 = LCM of 951 and 947

Related Least Common Multiples of 947

Related Least Common Multiples of 951

Frequently Asked Questions on LCM of 947 and 951

1. What is the LCM of 947 and 951?

Answer: LCM of 947 and 951 is 900597.

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 951?

Answer: Factors of 951 are 1, 3, 317, 951. There are 4 integers that are factors of 951. The greatest factor of 951 is 951.

4. How to Find the LCM of 947 and 951?

Answer:

Least Common Multiple of 947 and 951 = 900597

Step 1: Find the prime factorization of 947

947 = 947

Step 2: Find the prime factorization of 951

951 = 3 x 317

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

LCM = 900597 = 3 x 317 x 947

Step 4: Therefore, the least common multiple of 947 and 951 is 900597.