Least Common Multiple of 4850 and 4855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4850 and 4855 the smallest integer that is 4709350 that is divisible by both numbers.

Least Common Multiple (LCM) of 4850 and 4855 is 4709350.

LCM(4850,4855) = 4709350

LCM of 4850 and 4855

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

LCM of:
and

Least Common Multiple of 4850 and 4855

LCM of 4850 and 4855 is 4709350

Least common multiple can be found by multiplying the highest exponent prime factors of 4850 and 4855. First we will calculate the prime factors of 4850 and 4855.

Prime Factorization of 4850


2 4850
5 2425
5 485
97 97
1

Prime factors of 4850 are 2, 5,97. Prime factorization of 4850 in exponential form is:

4850 = 21×52×971

Prime Factorization of 4855


5 4855
971 971
1

Prime factors of 4855 are 5,971. Prime factorization of 4855 in exponential form is:

4855 = 51×9711

Now multiplying the highest exponent prime factors to calculate the LCM of 4850 and 4855.

LCM(4850,4855) = 21×52×971×9711
LCM(4850,4855) = 4709350

Factors of 4850

List of positive integer factors of 4850 that divides 4850 without a remainder.

1, 2, 5, 10, 25, 50, 97, 194, 485, 970, 2425, 4850

Factors of 4855

List of positive integer factors of 4855 that divides 4855 without a remainder.

1, 5, 971, 4855

Least Common Multiple of 4850 and 4855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4850 and 4855, than apply into the LCM equation.

GCF(4850,4855) = 5
LCM(4850,4855) = ( 4850 × 4855) / 5
LCM(4850,4855) = 23546750 / 5
LCM(4850,4855) = 4709350

Properties of LCM 4850 and 4855

(i) The LCM of 4855 and 4850 is associative

LCM of 4850 and 4855 = LCM of 4855 and 4850

Related Least Common Multiples of 4850

Related Least Common Multiples of 4855

Frequently Asked Questions on LCM of 4850 and 4855

1. What is the LCM of 4850 and 4855?

Answer: LCM of 4850 and 4855 is 4709350.

2. What are the Factors of 4850?

Answer: Factors of 4850 are 1, 2, 5, 10, 25, 50, 97, 194, 485, 970, 2425, 4850. There are 12 integers that are factors of 4850. The greatest factor of 4850 is 4850.

3. What are the Factors of 4855?

Answer: Factors of 4855 are 1, 5, 971, 4855. There are 4 integers that are factors of 4855. The greatest factor of 4855 is 4855.

4. How to Find the LCM of 4850 and 4855?

Answer:

Least Common Multiple of 4850 and 4855 = 4709350

Step 1: Find the prime factorization of 4850

4850 = 2 x 5 x 5 x 97

Step 2: Find the prime factorization of 4855

4855 = 5 x 971

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

LCM = 4709350 = 2 x 5 x 5 x 97 x 971

Step 4: Therefore, the least common multiple of 4850 and 4855 is 4709350.