Least Common Multiple of 946 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 946 and 949 the smallest integer that is 897754 that is divisible by both numbers.

Least Common Multiple (LCM) of 946 and 949 is 897754.

LCM(946,949) = 897754

LCM of 946 and 949

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

LCM of:
and

Least Common Multiple of 946 and 949

LCM of 946 and 949 is 897754

Least common multiple can be found by multiplying the highest exponent prime factors of 946 and 949. First we will calculate the prime factors of 946 and 949.

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 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 946 and 949.

LCM(946,949) = 21×111×131×431×731
LCM(946,949) = 897754

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 949

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

1, 13, 73, 949

Least Common Multiple of 946 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 946 and 949, than apply into the LCM equation.

GCF(946,949) = 1
LCM(946,949) = ( 946 × 949) / 1
LCM(946,949) = 897754 / 1
LCM(946,949) = 897754

Properties of LCM 946 and 949

(i) The LCM of 949 and 946 is associative

LCM of 946 and 949 = LCM of 949 and 946

Related Least Common Multiples of 946

Related Least Common Multiples of 949

Frequently Asked Questions on LCM of 946 and 949

1. What is the LCM of 946 and 949?

Answer: LCM of 946 and 949 is 897754.

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 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 946 and 949?

Answer:

Least Common Multiple of 946 and 949 = 897754

Step 1: Find the prime factorization of 946

946 = 2 x 11 x 43

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 = 897754 = 2 x 11 x 13 x 43 x 73

Step 4: Therefore, the least common multiple of 946 and 949 is 897754.