Least Common Multiple of 948 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 948 and 955 the smallest integer that is 905340 that is divisible by both numbers.

Least Common Multiple (LCM) of 948 and 955 is 905340.

LCM(948,955) = 905340

LCM of 948 and 955

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

LCM of:
and

Least Common Multiple of 948 and 955

LCM of 948 and 955 is 905340

Least common multiple can be found by multiplying the highest exponent prime factors of 948 and 955. First we will calculate the prime factors of 948 and 955.

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 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 948 and 955.

LCM(948,955) = 22×31×51×791×1911
LCM(948,955) = 905340

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 955

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

1, 5, 191, 955

Least Common Multiple of 948 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 948 and 955, than apply into the LCM equation.

GCF(948,955) = 1
LCM(948,955) = ( 948 × 955) / 1
LCM(948,955) = 905340 / 1
LCM(948,955) = 905340

Properties of LCM 948 and 955

(i) The LCM of 955 and 948 is associative

LCM of 948 and 955 = LCM of 955 and 948

Related Least Common Multiples of 948

Related Least Common Multiples of 955

Frequently Asked Questions on LCM of 948 and 955

1. What is the LCM of 948 and 955?

Answer: LCM of 948 and 955 is 905340.

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 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 948 and 955?

Answer:

Least Common Multiple of 948 and 955 = 905340

Step 1: Find the prime factorization of 948

948 = 2 x 2 x 3 x 79

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 = 905340 = 2 x 2 x 3 x 5 x 79 x 191

Step 4: Therefore, the least common multiple of 948 and 955 is 905340.