Least Common Multiple of 946 and 947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 946 and 947 the smallest integer that is 895862 that is divisible by both numbers.

Least Common Multiple (LCM) of 946 and 947 is 895862.

LCM(946,947) = 895862

LCM of 946 and 947

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

LCM of:
and

Least Common Multiple of 946 and 947

LCM of 946 and 947 is 895862

Least common multiple can be found by multiplying the highest exponent prime factors of 946 and 947. First we will calculate the prime factors of 946 and 947.

Prime Factorization of 946


2 946
11 473
43 43
1

Prime factors of 946 are 2, 11,43. Prime factorization of 946 in exponential form is:

946 = 21×111×431

Prime Factorization of 947


947 947
1

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

947 = 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 946 and 947.

LCM(946,947) = 21×111×431×9471
LCM(946,947) = 895862

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Factors of 947

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

1, 947

Least Common Multiple of 946 and 947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 946 and 947, than apply into the LCM equation.

GCF(946,947) = 1
LCM(946,947) = ( 946 × 947) / 1
LCM(946,947) = 895862 / 1
LCM(946,947) = 895862

Properties of LCM 946 and 947

(i) The LCM of 947 and 946 is associative

LCM of 946 and 947 = LCM of 947 and 946

Related Least Common Multiples of 946

Related Least Common Multiples of 947

Frequently Asked Questions on LCM of 946 and 947

1. What is the LCM of 946 and 947?

Answer: LCM of 946 and 947 is 895862.

2. What are the Factors of 946?

Answer: Factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946. There are 8 integers that are factors of 946. The greatest factor of 946 is 946.

3. 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.

4. How to Find the LCM of 946 and 947?

Answer:

Least Common Multiple of 946 and 947 = 895862

Step 1: Find the prime factorization of 946

946 = 2 x 11 x 43

Step 2: Find the prime factorization of 947

947 = 947

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

LCM = 895862 = 2 x 11 x 43 x 947

Step 4: Therefore, the least common multiple of 946 and 947 is 895862.