Least Common Multiple of 4951 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 4951 and 4955 the smallest integer that is 24532205 that is divisible by both numbers.

Least Common Multiple (LCM) of 4951 and 4955 is 24532205.

LCM(4951,4955) = 24532205

LCM of 4951 and 4955

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

LCM of:
and

Least Common Multiple of 4951 and 4955

LCM of 4951 and 4955 is 24532205

Least common multiple can be found by multiplying the highest exponent prime factors of 4951 and 4955. First we will calculate the prime factors of 4951 and 4955.

Prime Factorization of 4951


4951 4951
1

Prime factors of 4951 are 4951. Prime factorization of 4951 in exponential form is:

4951 = 49511

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 4951 and 4955.

LCM(4951,4955) = 51×9911×49511
LCM(4951,4955) = 24532205

Factors of 4951

List of positive integer factors of 4951 that divides 4951 without a remainder.

1, 4951

Factors of 4955

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

1, 5, 991, 4955

Least Common Multiple of 4951 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 4951 and 4955, than apply into the LCM equation.

GCF(4951,4955) = 1
LCM(4951,4955) = ( 4951 × 4955) / 1
LCM(4951,4955) = 24532205 / 1
LCM(4951,4955) = 24532205

Properties of LCM 4951 and 4955

(i) The LCM of 4955 and 4951 is associative

LCM of 4951 and 4955 = LCM of 4955 and 4951

Related Least Common Multiples of 4951

Related Least Common Multiples of 4955

Frequently Asked Questions on LCM of 4951 and 4955

1. What is the LCM of 4951 and 4955?

Answer: LCM of 4951 and 4955 is 24532205.

2. What are the Factors of 4951?

Answer: Factors of 4951 are 1, 4951. There are 2 integers that are factors of 4951. The greatest factor of 4951 is 4951.

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 4951 and 4955?

Answer:

Least Common Multiple of 4951 and 4955 = 24532205

Step 1: Find the prime factorization of 4951

4951 = 4951

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 = 24532205 = 5 x 991 x 4951

Step 4: Therefore, the least common multiple of 4951 and 4955 is 24532205.