Least Common Multiple of 946 and 948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 946 and 948 the smallest integer that is 448404 that is divisible by both numbers.

Least Common Multiple (LCM) of 946 and 948 is 448404.

LCM(946,948) = 448404

LCM of 946 and 948

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

LCM of:
and

Least Common Multiple of 946 and 948

LCM of 946 and 948 is 448404

Least common multiple can be found by multiplying the highest exponent prime factors of 946 and 948. First we will calculate the prime factors of 946 and 948.

Prime Factorization of 946


2 946
11 473
43 43
1

Prime factors of 946 are 2, 11,43. Prime factorization of 946 in exponential form is:

946 = 21×111×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 946 and 948.

LCM(946,948) = 22×31×111×431×791
LCM(946,948) = 448404

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

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

Least Common Multiple of 946 and 948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 946 and 948, than apply into the LCM equation.

GCF(946,948) = 2
LCM(946,948) = ( 946 × 948) / 2
LCM(946,948) = 896808 / 2
LCM(946,948) = 448404

Properties of LCM 946 and 948

(i) The LCM of 948 and 946 is associative

LCM of 946 and 948 = LCM of 948 and 946

Related Least Common Multiples of 946

Related Least Common Multiples of 948

Frequently Asked Questions on LCM of 946 and 948

1. What is the LCM of 946 and 948?

Answer: LCM of 946 and 948 is 448404.

2. What are the Factors of 946?

Answer: Factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946. There are 8 integers that are factors of 946. The greatest factor of 946 is 946.

3. 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.

4. How to Find the LCM of 946 and 948?

Answer:

Least Common Multiple of 946 and 948 = 448404

Step 1: Find the prime factorization of 946

946 = 2 x 11 x 43

Step 2: Find the prime factorization of 948

948 = 2 x 2 x 3 x 79

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

LCM = 448404 = 2 x 2 x 3 x 11 x 43 x 79

Step 4: Therefore, the least common multiple of 946 and 948 is 448404.