Least Common Multiple of 4949 and 4957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4949 and 4957 the smallest integer that is 24532193 that is divisible by both numbers.

Least Common Multiple (LCM) of 4949 and 4957 is 24532193.

LCM(4949,4957) = 24532193

LCM of 4949 and 4957

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

LCM of:
and

Least Common Multiple of 4949 and 4957

LCM of 4949 and 4957 is 24532193

Least common multiple can be found by multiplying the highest exponent prime factors of 4949 and 4957. First we will calculate the prime factors of 4949 and 4957.

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

Prime Factorization of 4957


4957 4957
1

Prime factors of 4957 are 4957. Prime factorization of 4957 in exponential form is:

4957 = 49571

Now multiplying the highest exponent prime factors to calculate the LCM of 4949 and 4957.

LCM(4949,4957) = 72×1011×49571
LCM(4949,4957) = 24532193

Factors of 4949

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

1, 7, 49, 101, 707, 4949

Factors of 4957

List of positive integer factors of 4957 that divides 4957 without a remainder.

1, 4957

Least Common Multiple of 4949 and 4957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4949 and 4957, than apply into the LCM equation.

GCF(4949,4957) = 1
LCM(4949,4957) = ( 4949 × 4957) / 1
LCM(4949,4957) = 24532193 / 1
LCM(4949,4957) = 24532193

Properties of LCM 4949 and 4957

(i) The LCM of 4957 and 4949 is associative

LCM of 4949 and 4957 = LCM of 4957 and 4949

Related Least Common Multiples of 4949

Related Least Common Multiples of 4957

Frequently Asked Questions on LCM of 4949 and 4957

1. What is the LCM of 4949 and 4957?

Answer: LCM of 4949 and 4957 is 24532193.

2. 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.

3. What are the Factors of 4957?

Answer: Factors of 4957 are 1, 4957. There are 2 integers that are factors of 4957. The greatest factor of 4957 is 4957.

4. How to Find the LCM of 4949 and 4957?

Answer:

Least Common Multiple of 4949 and 4957 = 24532193

Step 1: Find the prime factorization of 4949

4949 = 7 x 7 x 101

Step 2: Find the prime factorization of 4957

4957 = 4957

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

LCM = 24532193 = 7 x 7 x 101 x 4957

Step 4: Therefore, the least common multiple of 4949 and 4957 is 24532193.