Least Common Multiple of 4860 and 4867

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 4867 the smallest integer that is 23653620 that is divisible by both numbers.

Least Common Multiple (LCM) of 4860 and 4867 is 23653620.

LCM(4860,4867) = 23653620

LCM of 4860 and 4867

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

LCM of:
and

Least Common Multiple of 4860 and 4867

LCM of 4860 and 4867 is 23653620

Least common multiple can be found by multiplying the highest exponent prime factors of 4860 and 4867. First we will calculate the prime factors of 4860 and 4867.

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 4867


31 4867
157 157
1

Prime factors of 4867 are 31,157. Prime factorization of 4867 in exponential form is:

4867 = 311×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 4860 and 4867.

LCM(4860,4867) = 22×35×51×311×1571
LCM(4860,4867) = 23653620

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 4867

List of positive integer factors of 4867 that divides 4867 without a remainder.

1, 31, 157, 4867

Least Common Multiple of 4860 and 4867 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 4867, than apply into the LCM equation.

GCF(4860,4867) = 1
LCM(4860,4867) = ( 4860 × 4867) / 1
LCM(4860,4867) = 23653620 / 1
LCM(4860,4867) = 23653620

Properties of LCM 4860 and 4867

(i) The LCM of 4867 and 4860 is associative

LCM of 4860 and 4867 = LCM of 4867 and 4860

Related Least Common Multiples of 4860

Related Least Common Multiples of 4867

Frequently Asked Questions on LCM of 4860 and 4867

1. What is the LCM of 4860 and 4867?

Answer: LCM of 4860 and 4867 is 23653620.

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 4867?

Answer: Factors of 4867 are 1, 31, 157, 4867. There are 4 integers that are factors of 4867. The greatest factor of 4867 is 4867.

4. How to Find the LCM of 4860 and 4867?

Answer:

Least Common Multiple of 4860 and 4867 = 23653620

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 4867

4867 = 31 x 157

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

LCM = 23653620 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 31 x 157

Step 4: Therefore, the least common multiple of 4860 and 4867 is 23653620.