Least Common Multiple of 948 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 948 and 952 the smallest integer that is 225624 that is divisible by both numbers.

Least Common Multiple (LCM) of 948 and 952 is 225624.

LCM(948,952) = 225624

LCM of 948 and 952

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

LCM of:
and

Least Common Multiple of 948 and 952

LCM of 948 and 952 is 225624

Least common multiple can be found by multiplying the highest exponent prime factors of 948 and 952. First we will calculate the prime factors of 948 and 952.

Prime Factorization of 948


2 948
2 474
3 237
79 79
1

Prime factors of 948 are 2, 3,79. Prime factorization of 948 in exponential form is:

948 = 22×31×791

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 948 and 952.

LCM(948,952) = 23×31×71×171×791
LCM(948,952) = 225624

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

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 948 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 948 and 952, than apply into the LCM equation.

GCF(948,952) = 4
LCM(948,952) = ( 948 × 952) / 4
LCM(948,952) = 902496 / 4
LCM(948,952) = 225624

Properties of LCM 948 and 952

(i) The LCM of 952 and 948 is associative

LCM of 948 and 952 = LCM of 952 and 948

Related Least Common Multiples of 948

Related Least Common Multiples of 952

Frequently Asked Questions on LCM of 948 and 952

1. What is the LCM of 948 and 952?

Answer: LCM of 948 and 952 is 225624.

2. What are the Factors of 948?

Answer: Factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948. There are 12 integers that are factors of 948. The greatest factor of 948 is 948.

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 948 and 952?

Answer:

Least Common Multiple of 948 and 952 = 225624

Step 1: Find the prime factorization of 948

948 = 2 x 2 x 3 x 79

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 = 225624 = 2 x 2 x 2 x 3 x 7 x 17 x 79

Step 4: Therefore, the least common multiple of 948 and 952 is 225624.