Least Common Multiple of 4852 and 4859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4852 and 4859 the smallest integer that is 23575868 that is divisible by both numbers.

Least Common Multiple (LCM) of 4852 and 4859 is 23575868.

LCM(4852,4859) = 23575868

LCM of 4852 and 4859

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

LCM of:
and

Least Common Multiple of 4852 and 4859

LCM of 4852 and 4859 is 23575868

Least common multiple can be found by multiplying the highest exponent prime factors of 4852 and 4859. First we will calculate the prime factors of 4852 and 4859.

Prime Factorization of 4852


2 4852
2 2426
1213 1213
1

Prime factors of 4852 are 2,1213. Prime factorization of 4852 in exponential form is:

4852 = 22×12131

Prime Factorization of 4859


43 4859
113 113
1

Prime factors of 4859 are 43,113. Prime factorization of 4859 in exponential form is:

4859 = 431×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 4852 and 4859.

LCM(4852,4859) = 22×431×1131×12131
LCM(4852,4859) = 23575868

Factors of 4852

List of positive integer factors of 4852 that divides 4852 without a remainder.

1, 2, 4, 1213, 2426, 4852

Factors of 4859

List of positive integer factors of 4859 that divides 4859 without a remainder.

1, 43, 113, 4859

Least Common Multiple of 4852 and 4859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4852 and 4859, than apply into the LCM equation.

GCF(4852,4859) = 1
LCM(4852,4859) = ( 4852 × 4859) / 1
LCM(4852,4859) = 23575868 / 1
LCM(4852,4859) = 23575868

Properties of LCM 4852 and 4859

(i) The LCM of 4859 and 4852 is associative

LCM of 4852 and 4859 = LCM of 4859 and 4852

Related Least Common Multiples of 4852

Related Least Common Multiples of 4859

Frequently Asked Questions on LCM of 4852 and 4859

1. What is the LCM of 4852 and 4859?

Answer: LCM of 4852 and 4859 is 23575868.

2. What are the Factors of 4852?

Answer: Factors of 4852 are 1, 2, 4, 1213, 2426, 4852. There are 6 integers that are factors of 4852. The greatest factor of 4852 is 4852.

3. What are the Factors of 4859?

Answer: Factors of 4859 are 1, 43, 113, 4859. There are 4 integers that are factors of 4859. The greatest factor of 4859 is 4859.

4. How to Find the LCM of 4852 and 4859?

Answer:

Least Common Multiple of 4852 and 4859 = 23575868

Step 1: Find the prime factorization of 4852

4852 = 2 x 2 x 1213

Step 2: Find the prime factorization of 4859

4859 = 43 x 113

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

LCM = 23575868 = 2 x 2 x 43 x 113 x 1213

Step 4: Therefore, the least common multiple of 4852 and 4859 is 23575868.