Least Common Multiple of 6942 and 6949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6942 and 6949 the smallest integer that is 48239958 that is divisible by both numbers.

Least Common Multiple (LCM) of 6942 and 6949 is 48239958.

LCM(6942,6949) = 48239958

LCM of 6942 and 6949

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

LCM of:
and

Least Common Multiple of 6942 and 6949

LCM of 6942 and 6949 is 48239958

Least common multiple can be found by multiplying the highest exponent prime factors of 6942 and 6949. First we will calculate the prime factors of 6942 and 6949.

Prime Factorization of 6942


2 6942
3 3471
13 1157
89 89
1

Prime factors of 6942 are 2, 3, 13,89. Prime factorization of 6942 in exponential form is:

6942 = 21×31×131×891

Prime Factorization of 6949


6949 6949
1

Prime factors of 6949 are 6949. Prime factorization of 6949 in exponential form is:

6949 = 69491

Now multiplying the highest exponent prime factors to calculate the LCM of 6942 and 6949.

LCM(6942,6949) = 21×31×131×891×69491
LCM(6942,6949) = 48239958

Factors of 6942

List of positive integer factors of 6942 that divides 6942 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 89, 178, 267, 534, 1157, 2314, 3471, 6942

Factors of 6949

List of positive integer factors of 6949 that divides 6949 without a remainder.

1, 6949

Least Common Multiple of 6942 and 6949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6942 and 6949, than apply into the LCM equation.

GCF(6942,6949) = 1
LCM(6942,6949) = ( 6942 × 6949) / 1
LCM(6942,6949) = 48239958 / 1
LCM(6942,6949) = 48239958

Properties of LCM 6942 and 6949

(i) The LCM of 6949 and 6942 is associative

LCM of 6942 and 6949 = LCM of 6949 and 6942

Related Least Common Multiples of 6942

Related Least Common Multiples of 6949

Frequently Asked Questions on LCM of 6942 and 6949

1. What is the LCM of 6942 and 6949?

Answer: LCM of 6942 and 6949 is 48239958.

2. What are the Factors of 6942?

Answer: Factors of 6942 are 1, 2, 3, 6, 13, 26, 39, 78, 89, 178, 267, 534, 1157, 2314, 3471, 6942. There are 16 integers that are factors of 6942. The greatest factor of 6942 is 6942.

3. What are the Factors of 6949?

Answer: Factors of 6949 are 1, 6949. There are 2 integers that are factors of 6949. The greatest factor of 6949 is 6949.

4. How to Find the LCM of 6942 and 6949?

Answer:

Least Common Multiple of 6942 and 6949 = 48239958

Step 1: Find the prime factorization of 6942

6942 = 2 x 3 x 13 x 89

Step 2: Find the prime factorization of 6949

6949 = 6949

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

LCM = 48239958 = 2 x 3 x 13 x 89 x 6949

Step 4: Therefore, the least common multiple of 6942 and 6949 is 48239958.