Least Common Multiple of 947 and 954

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 954 the smallest integer that is 903438 that is divisible by both numbers.

Least Common Multiple (LCM) of 947 and 954 is 903438.

LCM(947,954) = 903438

LCM of 947 and 954

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

LCM of:
and

Least Common Multiple of 947 and 954

LCM of 947 and 954 is 903438

Least common multiple can be found by multiplying the highest exponent prime factors of 947 and 954. First we will calculate the prime factors of 947 and 954.

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 954


2 954
3 477
3 159
53 53
1

Prime factors of 954 are 2, 3,53. Prime factorization of 954 in exponential form is:

954 = 21×32×531

Now multiplying the highest exponent prime factors to calculate the LCM of 947 and 954.

LCM(947,954) = 21×32×531×9471
LCM(947,954) = 903438

Factors of 947

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

1, 947

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Least Common Multiple of 947 and 954 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 954, than apply into the LCM equation.

GCF(947,954) = 1
LCM(947,954) = ( 947 × 954) / 1
LCM(947,954) = 903438 / 1
LCM(947,954) = 903438

Properties of LCM 947 and 954

(i) The LCM of 954 and 947 is associative

LCM of 947 and 954 = LCM of 954 and 947

Related Least Common Multiples of 947

Related Least Common Multiples of 954

Frequently Asked Questions on LCM of 947 and 954

1. What is the LCM of 947 and 954?

Answer: LCM of 947 and 954 is 903438.

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 954?

Answer: Factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954. There are 12 integers that are factors of 954. The greatest factor of 954 is 954.

4. How to Find the LCM of 947 and 954?

Answer:

Least Common Multiple of 947 and 954 = 903438

Step 1: Find the prime factorization of 947

947 = 947

Step 2: Find the prime factorization of 954

954 = 2 x 3 x 3 x 53

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

LCM = 903438 = 2 x 3 x 3 x 53 x 947

Step 4: Therefore, the least common multiple of 947 and 954 is 903438.