Least Common Multiple of 951 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 951 and 952 the smallest integer that is 905352 that is divisible by both numbers.

Least Common Multiple (LCM) of 951 and 952 is 905352.

LCM(951,952) = 905352

LCM of 951 and 952

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

LCM of:
and

Least Common Multiple of 951 and 952

LCM of 951 and 952 is 905352

Least common multiple can be found by multiplying the highest exponent prime factors of 951 and 952. First we will calculate the prime factors of 951 and 952.

Prime Factorization of 951


3 951
317 317
1

Prime factors of 951 are 3,317. Prime factorization of 951 in exponential form is:

951 = 31×3171

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 951 and 952.

LCM(951,952) = 23×31×71×171×3171
LCM(951,952) = 905352

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1, 3, 317, 951

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 951 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 951 and 952, than apply into the LCM equation.

GCF(951,952) = 1
LCM(951,952) = ( 951 × 952) / 1
LCM(951,952) = 905352 / 1
LCM(951,952) = 905352

Properties of LCM 951 and 952

(i) The LCM of 952 and 951 is associative

LCM of 951 and 952 = LCM of 952 and 951

Related Least Common Multiples of 951

Related Least Common Multiples of 952

Frequently Asked Questions on LCM of 951 and 952

1. What is the LCM of 951 and 952?

Answer: LCM of 951 and 952 is 905352.

2. What are the Factors of 951?

Answer: Factors of 951 are 1, 3, 317, 951. There are 4 integers that are factors of 951. The greatest factor of 951 is 951.

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 951 and 952?

Answer:

Least Common Multiple of 951 and 952 = 905352

Step 1: Find the prime factorization of 951

951 = 3 x 317

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 = 905352 = 2 x 2 x 2 x 3 x 7 x 17 x 317

Step 4: Therefore, the least common multiple of 951 and 952 is 905352.