Least Common Multiple of 948 and 949

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 949 the smallest integer that is 899652 that is divisible by both numbers.

Least Common Multiple (LCM) of 948 and 949 is 899652.

LCM(948,949) = 899652

LCM of 948 and 949

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

LCM of:
and

Least Common Multiple of 948 and 949

LCM of 948 and 949 is 899652

Least common multiple can be found by multiplying the highest exponent prime factors of 948 and 949. First we will calculate the prime factors of 948 and 949.

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 949


13 949
73 73
1

Prime factors of 949 are 13,73. Prime factorization of 949 in exponential form is:

949 = 131×731

Now multiplying the highest exponent prime factors to calculate the LCM of 948 and 949.

LCM(948,949) = 22×31×131×731×791
LCM(948,949) = 899652

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 949

List of positive integer factors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Least Common Multiple of 948 and 949 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 949, than apply into the LCM equation.

GCF(948,949) = 1
LCM(948,949) = ( 948 × 949) / 1
LCM(948,949) = 899652 / 1
LCM(948,949) = 899652

Properties of LCM 948 and 949

(i) The LCM of 949 and 948 is associative

LCM of 948 and 949 = LCM of 949 and 948

Related Least Common Multiples of 948

Related Least Common Multiples of 949

Frequently Asked Questions on LCM of 948 and 949

1. What is the LCM of 948 and 949?

Answer: LCM of 948 and 949 is 899652.

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 949?

Answer: Factors of 949 are 1, 13, 73, 949. There are 4 integers that are factors of 949. The greatest factor of 949 is 949.

4. How to Find the LCM of 948 and 949?

Answer:

Least Common Multiple of 948 and 949 = 899652

Step 1: Find the prime factorization of 948

948 = 2 x 2 x 3 x 79

Step 2: Find the prime factorization of 949

949 = 13 x 73

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

LCM = 899652 = 2 x 2 x 3 x 13 x 73 x 79

Step 4: Therefore, the least common multiple of 948 and 949 is 899652.