Least Common Multiple of 4860 and 4866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4860 and 4866 the smallest integer that is 3941460 that is divisible by both numbers.

Least Common Multiple (LCM) of 4860 and 4866 is 3941460.

LCM(4860,4866) = 3941460

LCM of 4860 and 4866

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

LCM of:
and

Least Common Multiple of 4860 and 4866

LCM of 4860 and 4866 is 3941460

Least common multiple can be found by multiplying the highest exponent prime factors of 4860 and 4866. First we will calculate the prime factors of 4860 and 4866.

Prime Factorization of 4860


2 4860
2 2430
3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 4860 are 2, 3,5. Prime factorization of 4860 in exponential form is:

4860 = 22×35×51

Prime Factorization of 4866


2 4866
3 2433
811 811
1

Prime factors of 4866 are 2, 3,811. Prime factorization of 4866 in exponential form is:

4866 = 21×31×8111

Now multiplying the highest exponent prime factors to calculate the LCM of 4860 and 4866.

LCM(4860,4866) = 22×35×51×8111
LCM(4860,4866) = 3941460

Factors of 4860

List of positive integer factors of 4860 that divides 4860 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860

Factors of 4866

List of positive integer factors of 4866 that divides 4866 without a remainder.

1, 2, 3, 6, 811, 1622, 2433, 4866

Least Common Multiple of 4860 and 4866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4860 and 4866, than apply into the LCM equation.

GCF(4860,4866) = 6
LCM(4860,4866) = ( 4860 × 4866) / 6
LCM(4860,4866) = 23648760 / 6
LCM(4860,4866) = 3941460

Properties of LCM 4860 and 4866

(i) The LCM of 4866 and 4860 is associative

LCM of 4860 and 4866 = LCM of 4866 and 4860

Related Least Common Multiples of 4860

Related Least Common Multiples of 4866

Frequently Asked Questions on LCM of 4860 and 4866

1. What is the LCM of 4860 and 4866?

Answer: LCM of 4860 and 4866 is 3941460.

2. What are the Factors of 4860?

Answer: Factors of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860. There are 36 integers that are factors of 4860. The greatest factor of 4860 is 4860.

3. What are the Factors of 4866?

Answer: Factors of 4866 are 1, 2, 3, 6, 811, 1622, 2433, 4866. There are 8 integers that are factors of 4866. The greatest factor of 4866 is 4866.

4. How to Find the LCM of 4860 and 4866?

Answer:

Least Common Multiple of 4860 and 4866 = 3941460

Step 1: Find the prime factorization of 4860

4860 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 4866

4866 = 2 x 3 x 811

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

LCM = 3941460 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 811

Step 4: Therefore, the least common multiple of 4860 and 4866 is 3941460.