Least Common Multiple of 6073 and 6078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6073 and 6078 the smallest integer that is 36911694 that is divisible by both numbers.

Least Common Multiple (LCM) of 6073 and 6078 is 36911694.

LCM(6073,6078) = 36911694

LCM of 6073 and 6078

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

LCM of:
and

Least Common Multiple of 6073 and 6078

LCM of 6073 and 6078 is 36911694

Least common multiple can be found by multiplying the highest exponent prime factors of 6073 and 6078. First we will calculate the prime factors of 6073 and 6078.

Prime Factorization of 6073


6073 6073
1

Prime factors of 6073 are 6073. Prime factorization of 6073 in exponential form is:

6073 = 60731

Prime Factorization of 6078


2 6078
3 3039
1013 1013
1

Prime factors of 6078 are 2, 3,1013. Prime factorization of 6078 in exponential form is:

6078 = 21×31×10131

Now multiplying the highest exponent prime factors to calculate the LCM of 6073 and 6078.

LCM(6073,6078) = 21×31×10131×60731
LCM(6073,6078) = 36911694

Factors of 6073

List of positive integer factors of 6073 that divides 6073 without a remainder.

1, 6073

Factors of 6078

List of positive integer factors of 6078 that divides 6078 without a remainder.

1, 2, 3, 6, 1013, 2026, 3039, 6078

Least Common Multiple of 6073 and 6078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6073 and 6078, than apply into the LCM equation.

GCF(6073,6078) = 1
LCM(6073,6078) = ( 6073 × 6078) / 1
LCM(6073,6078) = 36911694 / 1
LCM(6073,6078) = 36911694

Properties of LCM 6073 and 6078

(i) The LCM of 6078 and 6073 is associative

LCM of 6073 and 6078 = LCM of 6078 and 6073

Related Least Common Multiples of 6073

Related Least Common Multiples of 6078

Frequently Asked Questions on LCM of 6073 and 6078

1. What is the LCM of 6073 and 6078?

Answer: LCM of 6073 and 6078 is 36911694.

2. What are the Factors of 6073?

Answer: Factors of 6073 are 1, 6073. There are 2 integers that are factors of 6073. The greatest factor of 6073 is 6073.

3. What are the Factors of 6078?

Answer: Factors of 6078 are 1, 2, 3, 6, 1013, 2026, 3039, 6078. There are 8 integers that are factors of 6078. The greatest factor of 6078 is 6078.

4. How to Find the LCM of 6073 and 6078?

Answer:

Least Common Multiple of 6073 and 6078 = 36911694

Step 1: Find the prime factorization of 6073

6073 = 6073

Step 2: Find the prime factorization of 6078

6078 = 2 x 3 x 1013

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

LCM = 36911694 = 2 x 3 x 1013 x 6073

Step 4: Therefore, the least common multiple of 6073 and 6078 is 36911694.