Least Common Multiple of 952 and 958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 952 and 958 the smallest integer that is 456008 that is divisible by both numbers.

Least Common Multiple (LCM) of 952 and 958 is 456008.

LCM(952,958) = 456008

LCM of 952 and 958

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

LCM of:
and

Least Common Multiple of 952 and 958

LCM of 952 and 958 is 456008

Least common multiple can be found by multiplying the highest exponent prime factors of 952 and 958. First we will calculate the prime factors of 952 and 958.

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

Prime Factorization of 958


2 958
479 479
1

Prime factors of 958 are 2,479. Prime factorization of 958 in exponential form is:

958 = 21×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 952 and 958.

LCM(952,958) = 23×71×171×4791
LCM(952,958) = 456008

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

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Least Common Multiple of 952 and 958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 952 and 958, than apply into the LCM equation.

GCF(952,958) = 2
LCM(952,958) = ( 952 × 958) / 2
LCM(952,958) = 912016 / 2
LCM(952,958) = 456008

Properties of LCM 952 and 958

(i) The LCM of 958 and 952 is associative

LCM of 952 and 958 = LCM of 958 and 952

Related Least Common Multiples of 952

Related Least Common Multiples of 958

Frequently Asked Questions on LCM of 952 and 958

1. What is the LCM of 952 and 958?

Answer: LCM of 952 and 958 is 456008.

2. 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.

3. What are the Factors of 958?

Answer: Factors of 958 are 1, 2, 479, 958. There are 4 integers that are factors of 958. The greatest factor of 958 is 958.

4. How to Find the LCM of 952 and 958?

Answer:

Least Common Multiple of 952 and 958 = 456008

Step 1: Find the prime factorization of 952

952 = 2 x 2 x 2 x 7 x 17

Step 2: Find the prime factorization of 958

958 = 2 x 479

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

LCM = 456008 = 2 x 2 x 2 x 7 x 17 x 479

Step 4: Therefore, the least common multiple of 952 and 958 is 456008.