Least Common Multiple of 948 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 948 and 953 the smallest integer that is 903444 that is divisible by both numbers.

Least Common Multiple (LCM) of 948 and 953 is 903444.

LCM(948,953) = 903444

LCM of 948 and 953

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

LCM of:
and

Least Common Multiple of 948 and 953

LCM of 948 and 953 is 903444

Least common multiple can be found by multiplying the highest exponent prime factors of 948 and 953. First we will calculate the prime factors of 948 and 953.

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 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 948 and 953.

LCM(948,953) = 22×31×791×9531
LCM(948,953) = 903444

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 953

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

1, 953

Least Common Multiple of 948 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 948 and 953, than apply into the LCM equation.

GCF(948,953) = 1
LCM(948,953) = ( 948 × 953) / 1
LCM(948,953) = 903444 / 1
LCM(948,953) = 903444

Properties of LCM 948 and 953

(i) The LCM of 953 and 948 is associative

LCM of 948 and 953 = LCM of 953 and 948

Related Least Common Multiples of 948

Related Least Common Multiples of 953

Frequently Asked Questions on LCM of 948 and 953

1. What is the LCM of 948 and 953?

Answer: LCM of 948 and 953 is 903444.

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 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 948 and 953?

Answer:

Least Common Multiple of 948 and 953 = 903444

Step 1: Find the prime factorization of 948

948 = 2 x 2 x 3 x 79

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 = 903444 = 2 x 2 x 3 x 79 x 953

Step 4: Therefore, the least common multiple of 948 and 953 is 903444.