Least Common Multiple of 942 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 942 and 949 the smallest integer that is 893958 that is divisible by both numbers.

Least Common Multiple (LCM) of 942 and 949 is 893958.

LCM(942,949) = 893958

LCM of 942 and 949

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

LCM of:
and

Least Common Multiple of 942 and 949

LCM of 942 and 949 is 893958

Least common multiple can be found by multiplying the highest exponent prime factors of 942 and 949. First we will calculate the prime factors of 942 and 949.

Prime Factorization of 942


2 942
3 471
157 157
1

Prime factors of 942 are 2, 3,157. Prime factorization of 942 in exponential form is:

942 = 21×31×1571

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 942 and 949.

LCM(942,949) = 21×31×131×731×1571
LCM(942,949) = 893958

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Factors of 949

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

1, 13, 73, 949

Least Common Multiple of 942 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 942 and 949, than apply into the LCM equation.

GCF(942,949) = 1
LCM(942,949) = ( 942 × 949) / 1
LCM(942,949) = 893958 / 1
LCM(942,949) = 893958

Properties of LCM 942 and 949

(i) The LCM of 949 and 942 is associative

LCM of 942 and 949 = LCM of 949 and 942

Related Least Common Multiples of 942

Related Least Common Multiples of 949

Frequently Asked Questions on LCM of 942 and 949

1. What is the LCM of 942 and 949?

Answer: LCM of 942 and 949 is 893958.

2. What are the Factors of 942?

Answer: Factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942. There are 8 integers that are factors of 942. The greatest factor of 942 is 942.

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 942 and 949?

Answer:

Least Common Multiple of 942 and 949 = 893958

Step 1: Find the prime factorization of 942

942 = 2 x 3 x 157

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 = 893958 = 2 x 3 x 13 x 73 x 157

Step 4: Therefore, the least common multiple of 942 and 949 is 893958.