Least Common Multiple of 5073 and 5078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5073 and 5078 the smallest integer that is 25760694 that is divisible by both numbers.

Least Common Multiple (LCM) of 5073 and 5078 is 25760694.

LCM(5073,5078) = 25760694

LCM of 5073 and 5078

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

LCM of:
and

Least Common Multiple of 5073 and 5078

LCM of 5073 and 5078 is 25760694

Least common multiple can be found by multiplying the highest exponent prime factors of 5073 and 5078. First we will calculate the prime factors of 5073 and 5078.

Prime Factorization of 5073


3 5073
19 1691
89 89
1

Prime factors of 5073 are 3, 19,89. Prime factorization of 5073 in exponential form is:

5073 = 31×191×891

Prime Factorization of 5078


2 5078
2539 2539
1

Prime factors of 5078 are 2,2539. Prime factorization of 5078 in exponential form is:

5078 = 21×25391

Now multiplying the highest exponent prime factors to calculate the LCM of 5073 and 5078.

LCM(5073,5078) = 21×31×191×891×25391
LCM(5073,5078) = 25760694

Factors of 5073

List of positive integer factors of 5073 that divides 5073 without a remainder.

1, 3, 19, 57, 89, 267, 1691, 5073

Factors of 5078

List of positive integer factors of 5078 that divides 5078 without a remainder.

1, 2, 2539, 5078

Least Common Multiple of 5073 and 5078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5073 and 5078, than apply into the LCM equation.

GCF(5073,5078) = 1
LCM(5073,5078) = ( 5073 × 5078) / 1
LCM(5073,5078) = 25760694 / 1
LCM(5073,5078) = 25760694

Properties of LCM 5073 and 5078

(i) The LCM of 5078 and 5073 is associative

LCM of 5073 and 5078 = LCM of 5078 and 5073

Related Least Common Multiples of 5073

Related Least Common Multiples of 5078

Frequently Asked Questions on LCM of 5073 and 5078

1. What is the LCM of 5073 and 5078?

Answer: LCM of 5073 and 5078 is 25760694.

2. What are the Factors of 5073?

Answer: Factors of 5073 are 1, 3, 19, 57, 89, 267, 1691, 5073. There are 8 integers that are factors of 5073. The greatest factor of 5073 is 5073.

3. What are the Factors of 5078?

Answer: Factors of 5078 are 1, 2, 2539, 5078. There are 4 integers that are factors of 5078. The greatest factor of 5078 is 5078.

4. How to Find the LCM of 5073 and 5078?

Answer:

Least Common Multiple of 5073 and 5078 = 25760694

Step 1: Find the prime factorization of 5073

5073 = 3 x 19 x 89

Step 2: Find the prime factorization of 5078

5078 = 2 x 2539

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

LCM = 25760694 = 2 x 3 x 19 x 89 x 2539

Step 4: Therefore, the least common multiple of 5073 and 5078 is 25760694.