Least Common Multiple of 952 and 953

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 953 the smallest integer that is 907256 that is divisible by both numbers.

Least Common Multiple (LCM) of 952 and 953 is 907256.

LCM(952,953) = 907256

LCM of 952 and 953

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

LCM of:
and

Least Common Multiple of 952 and 953

LCM of 952 and 953 is 907256

Least common multiple can be found by multiplying the highest exponent prime factors of 952 and 953. First we will calculate the prime factors of 952 and 953.

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 953


953 953
1

Prime factors of 953 are 953. Prime factorization of 953 in exponential form is:

953 = 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 952 and 953.

LCM(952,953) = 23×71×171×9531
LCM(952,953) = 907256

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 953

List of positive integer factors of 953 that divides 953 without a remainder.

1, 953

Least Common Multiple of 952 and 953 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 953, than apply into the LCM equation.

GCF(952,953) = 1
LCM(952,953) = ( 952 × 953) / 1
LCM(952,953) = 907256 / 1
LCM(952,953) = 907256

Properties of LCM 952 and 953

(i) The LCM of 953 and 952 is associative

LCM of 952 and 953 = LCM of 953 and 952

Related Least Common Multiples of 952

Related Least Common Multiples of 953

Frequently Asked Questions on LCM of 952 and 953

1. What is the LCM of 952 and 953?

Answer: LCM of 952 and 953 is 907256.

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 953?

Answer: Factors of 953 are 1, 953. There are 2 integers that are factors of 953. The greatest factor of 953 is 953.

4. How to Find the LCM of 952 and 953?

Answer:

Least Common Multiple of 952 and 953 = 907256

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 953

953 = 953

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

LCM = 907256 = 2 x 2 x 2 x 7 x 17 x 953

Step 4: Therefore, the least common multiple of 952 and 953 is 907256.