Least Common Multiple of 4941 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 4941 and 4949 the smallest integer that is 24453009 that is divisible by both numbers.

Least Common Multiple (LCM) of 4941 and 4949 is 24453009.

LCM(4941,4949) = 24453009

LCM of 4941 and 4949

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

LCM of:
and

Least Common Multiple of 4941 and 4949

LCM of 4941 and 4949 is 24453009

Least common multiple can be found by multiplying the highest exponent prime factors of 4941 and 4949. First we will calculate the prime factors of 4941 and 4949.

Prime Factorization of 4941


3 4941
3 1647
3 549
3 183
61 61
1

Prime factors of 4941 are 3,61. Prime factorization of 4941 in exponential form is:

4941 = 34×611

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 4941 and 4949.

LCM(4941,4949) = 34×72×611×1011
LCM(4941,4949) = 24453009

Factors of 4941

List of positive integer factors of 4941 that divides 4941 without a remainder.

1, 3, 9, 27, 61, 81, 183, 549, 1647, 4941

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 4941 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 4941 and 4949, than apply into the LCM equation.

GCF(4941,4949) = 1
LCM(4941,4949) = ( 4941 × 4949) / 1
LCM(4941,4949) = 24453009 / 1
LCM(4941,4949) = 24453009

Properties of LCM 4941 and 4949

(i) The LCM of 4949 and 4941 is associative

LCM of 4941 and 4949 = LCM of 4949 and 4941

Related Least Common Multiples of 4941

Related Least Common Multiples of 4949

Frequently Asked Questions on LCM of 4941 and 4949

1. What is the LCM of 4941 and 4949?

Answer: LCM of 4941 and 4949 is 24453009.

2. What are the Factors of 4941?

Answer: Factors of 4941 are 1, 3, 9, 27, 61, 81, 183, 549, 1647, 4941. There are 10 integers that are factors of 4941. The greatest factor of 4941 is 4941.

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 4941 and 4949?

Answer:

Least Common Multiple of 4941 and 4949 = 24453009

Step 1: Find the prime factorization of 4941

4941 = 3 x 3 x 3 x 3 x 61

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 = 24453009 = 3 x 3 x 3 x 3 x 7 x 7 x 61 x 101

Step 4: Therefore, the least common multiple of 4941 and 4949 is 24453009.