Least Common Multiple of 947 and 949

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 949 the smallest integer that is 898703 that is divisible by both numbers.

Least Common Multiple (LCM) of 947 and 949 is 898703.

LCM(947,949) = 898703

LCM of 947 and 949

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

LCM of:
and

Least Common Multiple of 947 and 949

LCM of 947 and 949 is 898703

Least common multiple can be found by multiplying the highest exponent prime factors of 947 and 949. First we will calculate the prime factors of 947 and 949.

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 949


13 949
73 73
1

Prime factors of 949 are 13,73. Prime factorization of 949 in exponential form is:

949 = 131×731

Now multiplying the highest exponent prime factors to calculate the LCM of 947 and 949.

LCM(947,949) = 131×731×9471
LCM(947,949) = 898703

Factors of 947

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

1, 947

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Least Common Multiple of 947 and 949 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 949, than apply into the LCM equation.

GCF(947,949) = 1
LCM(947,949) = ( 947 × 949) / 1
LCM(947,949) = 898703 / 1
LCM(947,949) = 898703

Properties of LCM 947 and 949

(i) The LCM of 949 and 947 is associative

LCM of 947 and 949 = LCM of 949 and 947

Related Least Common Multiples of 947

Related Least Common Multiples of 949

Frequently Asked Questions on LCM of 947 and 949

1. What is the LCM of 947 and 949?

Answer: LCM of 947 and 949 is 898703.

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 949?

Answer: Factors of 949 are 1, 13, 73, 949. There are 4 integers that are factors of 949. The greatest factor of 949 is 949.

4. How to Find the LCM of 947 and 949?

Answer:

Least Common Multiple of 947 and 949 = 898703

Step 1: Find the prime factorization of 947

947 = 947

Step 2: Find the prime factorization of 949

949 = 13 x 73

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

LCM = 898703 = 13 x 73 x 947

Step 4: Therefore, the least common multiple of 947 and 949 is 898703.