Least Common Multiple of 4949 and 4955

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 4955 the smallest integer that is 24522295 that is divisible by both numbers.

Least Common Multiple (LCM) of 4949 and 4955 is 24522295.

LCM(4949,4955) = 24522295

LCM of 4949 and 4955

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

LCM of:
and

Least Common Multiple of 4949 and 4955

LCM of 4949 and 4955 is 24522295

Least common multiple can be found by multiplying the highest exponent prime factors of 4949 and 4955. First we will calculate the prime factors of 4949 and 4955.

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 4955


5 4955
991 991
1

Prime factors of 4955 are 5,991. Prime factorization of 4955 in exponential form is:

4955 = 51×9911

Now multiplying the highest exponent prime factors to calculate the LCM of 4949 and 4955.

LCM(4949,4955) = 51×72×1011×9911
LCM(4949,4955) = 24522295

Factors of 4949

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

1, 7, 49, 101, 707, 4949

Factors of 4955

List of positive integer factors of 4955 that divides 4955 without a remainder.

1, 5, 991, 4955

Least Common Multiple of 4949 and 4955 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 4955, than apply into the LCM equation.

GCF(4949,4955) = 1
LCM(4949,4955) = ( 4949 × 4955) / 1
LCM(4949,4955) = 24522295 / 1
LCM(4949,4955) = 24522295

Properties of LCM 4949 and 4955

(i) The LCM of 4955 and 4949 is associative

LCM of 4949 and 4955 = LCM of 4955 and 4949

Related Least Common Multiples of 4949

Related Least Common Multiples of 4955

Frequently Asked Questions on LCM of 4949 and 4955

1. What is the LCM of 4949 and 4955?

Answer: LCM of 4949 and 4955 is 24522295.

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 4955?

Answer: Factors of 4955 are 1, 5, 991, 4955. There are 4 integers that are factors of 4955. The greatest factor of 4955 is 4955.

4. How to Find the LCM of 4949 and 4955?

Answer:

Least Common Multiple of 4949 and 4955 = 24522295

Step 1: Find the prime factorization of 4949

4949 = 7 x 7 x 101

Step 2: Find the prime factorization of 4955

4955 = 5 x 991

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

LCM = 24522295 = 5 x 7 x 7 x 101 x 991

Step 4: Therefore, the least common multiple of 4949 and 4955 is 24522295.