Least Common Multiple of 946 and 952

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 952 the smallest integer that is 450296 that is divisible by both numbers.

Least Common Multiple (LCM) of 946 and 952 is 450296.

LCM(946,952) = 450296

LCM of 946 and 952

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

LCM of:
and

Least Common Multiple of 946 and 952

LCM of 946 and 952 is 450296

Least common multiple can be found by multiplying the highest exponent prime factors of 946 and 952. First we will calculate the prime factors of 946 and 952.

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 952


2 952
2 476
2 238
7 119
17 17
1

Prime factors of 952 are 2, 7,17. Prime factorization of 952 in exponential form is:

952 = 23×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 946 and 952.

LCM(946,952) = 23×71×111×171×431
LCM(946,952) = 450296

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 952

List of positive integer factors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Least Common Multiple of 946 and 952 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 952, than apply into the LCM equation.

GCF(946,952) = 2
LCM(946,952) = ( 946 × 952) / 2
LCM(946,952) = 900592 / 2
LCM(946,952) = 450296

Properties of LCM 946 and 952

(i) The LCM of 952 and 946 is associative

LCM of 946 and 952 = LCM of 952 and 946

Related Least Common Multiples of 946

Related Least Common Multiples of 952

Frequently Asked Questions on LCM of 946 and 952

1. What is the LCM of 946 and 952?

Answer: LCM of 946 and 952 is 450296.

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 952?

Answer: Factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952. There are 16 integers that are factors of 952. The greatest factor of 952 is 952.

4. How to Find the LCM of 946 and 952?

Answer:

Least Common Multiple of 946 and 952 = 450296

Step 1: Find the prime factorization of 946

946 = 2 x 11 x 43

Step 2: Find the prime factorization of 952

952 = 2 x 2 x 2 x 7 x 17

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

LCM = 450296 = 2 x 2 x 2 x 7 x 11 x 17 x 43

Step 4: Therefore, the least common multiple of 946 and 952 is 450296.