Least Common Multiple of 952 and 955

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 955 the smallest integer that is 909160 that is divisible by both numbers.

Least Common Multiple (LCM) of 952 and 955 is 909160.

LCM(952,955) = 909160

LCM of 952 and 955

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

LCM of:
and

Least Common Multiple of 952 and 955

LCM of 952 and 955 is 909160

Least common multiple can be found by multiplying the highest exponent prime factors of 952 and 955. First we will calculate the prime factors of 952 and 955.

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 955


5 955
191 191
1

Prime factors of 955 are 5,191. Prime factorization of 955 in exponential form is:

955 = 51×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 952 and 955.

LCM(952,955) = 23×51×71×171×1911
LCM(952,955) = 909160

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 955

List of positive integer factors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Least Common Multiple of 952 and 955 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 955, than apply into the LCM equation.

GCF(952,955) = 1
LCM(952,955) = ( 952 × 955) / 1
LCM(952,955) = 909160 / 1
LCM(952,955) = 909160

Properties of LCM 952 and 955

(i) The LCM of 955 and 952 is associative

LCM of 952 and 955 = LCM of 955 and 952

Related Least Common Multiples of 952

Related Least Common Multiples of 955

Frequently Asked Questions on LCM of 952 and 955

1. What is the LCM of 952 and 955?

Answer: LCM of 952 and 955 is 909160.

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 955?

Answer: Factors of 955 are 1, 5, 191, 955. There are 4 integers that are factors of 955. The greatest factor of 955 is 955.

4. How to Find the LCM of 952 and 955?

Answer:

Least Common Multiple of 952 and 955 = 909160

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 955

955 = 5 x 191

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

LCM = 909160 = 2 x 2 x 2 x 5 x 7 x 17 x 191

Step 4: Therefore, the least common multiple of 952 and 955 is 909160.