Least Common Multiple of 4855 and 4860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4855 and 4860 the smallest integer that is 4719060 that is divisible by both numbers.

Least Common Multiple (LCM) of 4855 and 4860 is 4719060.

LCM(4855,4860) = 4719060

LCM of 4855 and 4860

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

LCM of:
and

Least Common Multiple of 4855 and 4860

LCM of 4855 and 4860 is 4719060

Least common multiple can be found by multiplying the highest exponent prime factors of 4855 and 4860. First we will calculate the prime factors of 4855 and 4860.

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

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4855 and 4860.

LCM(4855,4860) = 22×35×51×9711
LCM(4855,4860) = 4719060

Factors of 4855

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

1, 5, 971, 4855

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

Least Common Multiple of 4855 and 4860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4855 and 4860, than apply into the LCM equation.

GCF(4855,4860) = 5
LCM(4855,4860) = ( 4855 × 4860) / 5
LCM(4855,4860) = 23595300 / 5
LCM(4855,4860) = 4719060

Properties of LCM 4855 and 4860

(i) The LCM of 4860 and 4855 is associative

LCM of 4855 and 4860 = LCM of 4860 and 4855

Related Least Common Multiples of 4855

Related Least Common Multiples of 4860

Frequently Asked Questions on LCM of 4855 and 4860

1. What is the LCM of 4855 and 4860?

Answer: LCM of 4855 and 4860 is 4719060.

2. 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.

3. 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.

4. How to Find the LCM of 4855 and 4860?

Answer:

Least Common Multiple of 4855 and 4860 = 4719060

Step 1: Find the prime factorization of 4855

4855 = 5 x 971

Step 2: Find the prime factorization of 4860

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

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

LCM = 4719060 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 971

Step 4: Therefore, the least common multiple of 4855 and 4860 is 4719060.