Least Common Multiple of 4942 and 4949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4942 and 4949 the smallest integer that is 3493994 that is divisible by both numbers.

Least Common Multiple (LCM) of 4942 and 4949 is 3493994.

LCM(4942,4949) = 3493994

LCM of 4942 and 4949

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

LCM of:
and

Least Common Multiple of 4942 and 4949

LCM of 4942 and 4949 is 3493994

Least common multiple can be found by multiplying the highest exponent prime factors of 4942 and 4949. First we will calculate the prime factors of 4942 and 4949.

Prime Factorization of 4942


2 4942
7 2471
353 353
1

Prime factors of 4942 are 2, 7,353. Prime factorization of 4942 in exponential form is:

4942 = 21×71×3531

Prime Factorization of 4949


7 4949
7 707
101 101
1

Prime factors of 4949 are 7,101. Prime factorization of 4949 in exponential form is:

4949 = 72×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4942 and 4949.

LCM(4942,4949) = 21×72×1011×3531
LCM(4942,4949) = 3493994

Factors of 4942

List of positive integer factors of 4942 that divides 4942 without a remainder.

1, 2, 7, 14, 353, 706, 2471, 4942

Factors of 4949

List of positive integer factors of 4949 that divides 4949 without a remainder.

1, 7, 49, 101, 707, 4949

Least Common Multiple of 4942 and 4949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4942 and 4949, than apply into the LCM equation.

GCF(4942,4949) = 7
LCM(4942,4949) = ( 4942 × 4949) / 7
LCM(4942,4949) = 24457958 / 7
LCM(4942,4949) = 3493994

Properties of LCM 4942 and 4949

(i) The LCM of 4949 and 4942 is associative

LCM of 4942 and 4949 = LCM of 4949 and 4942

Related Least Common Multiples of 4942

Related Least Common Multiples of 4949

Frequently Asked Questions on LCM of 4942 and 4949

1. What is the LCM of 4942 and 4949?

Answer: LCM of 4942 and 4949 is 3493994.

2. What are the Factors of 4942?

Answer: Factors of 4942 are 1, 2, 7, 14, 353, 706, 2471, 4942. There are 8 integers that are factors of 4942. The greatest factor of 4942 is 4942.

3. What are the Factors of 4949?

Answer: Factors of 4949 are 1, 7, 49, 101, 707, 4949. There are 6 integers that are factors of 4949. The greatest factor of 4949 is 4949.

4. How to Find the LCM of 4942 and 4949?

Answer:

Least Common Multiple of 4942 and 4949 = 3493994

Step 1: Find the prime factorization of 4942

4942 = 2 x 7 x 353

Step 2: Find the prime factorization of 4949

4949 = 7 x 7 x 101

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

LCM = 3493994 = 2 x 7 x 7 x 101 x 353

Step 4: Therefore, the least common multiple of 4942 and 4949 is 3493994.