Least Common Multiple of 9073 and 9078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9073 and 9078 the smallest integer that is 82364694 that is divisible by both numbers.

Least Common Multiple (LCM) of 9073 and 9078 is 82364694.

LCM(9073,9078) = 82364694

LCM of 9073 and 9078

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

LCM of:
and

Least Common Multiple of 9073 and 9078

LCM of 9073 and 9078 is 82364694

Least common multiple can be found by multiplying the highest exponent prime factors of 9073 and 9078. First we will calculate the prime factors of 9073 and 9078.

Prime Factorization of 9073


43 9073
211 211
1

Prime factors of 9073 are 43,211. Prime factorization of 9073 in exponential form is:

9073 = 431×2111

Prime Factorization of 9078


2 9078
3 4539
17 1513
89 89
1

Prime factors of 9078 are 2, 3, 17,89. Prime factorization of 9078 in exponential form is:

9078 = 21×31×171×891

Now multiplying the highest exponent prime factors to calculate the LCM of 9073 and 9078.

LCM(9073,9078) = 21×31×171×431×891×2111
LCM(9073,9078) = 82364694

Factors of 9073

List of positive integer factors of 9073 that divides 9073 without a remainder.

1, 43, 211, 9073

Factors of 9078

List of positive integer factors of 9078 that divides 9078 without a remainder.

1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078

Least Common Multiple of 9073 and 9078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9073 and 9078, than apply into the LCM equation.

GCF(9073,9078) = 1
LCM(9073,9078) = ( 9073 × 9078) / 1
LCM(9073,9078) = 82364694 / 1
LCM(9073,9078) = 82364694

Properties of LCM 9073 and 9078

(i) The LCM of 9078 and 9073 is associative

LCM of 9073 and 9078 = LCM of 9078 and 9073

Related Least Common Multiples of 9073

Related Least Common Multiples of 9078

Frequently Asked Questions on LCM of 9073 and 9078

1. What is the LCM of 9073 and 9078?

Answer: LCM of 9073 and 9078 is 82364694.

2. What are the Factors of 9073?

Answer: Factors of 9073 are 1, 43, 211, 9073. There are 4 integers that are factors of 9073. The greatest factor of 9073 is 9073.

3. What are the Factors of 9078?

Answer: Factors of 9078 are 1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078. There are 16 integers that are factors of 9078. The greatest factor of 9078 is 9078.

4. How to Find the LCM of 9073 and 9078?

Answer:

Least Common Multiple of 9073 and 9078 = 82364694

Step 1: Find the prime factorization of 9073

9073 = 43 x 211

Step 2: Find the prime factorization of 9078

9078 = 2 x 3 x 17 x 89

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

LCM = 82364694 = 2 x 3 x 17 x 43 x 89 x 211

Step 4: Therefore, the least common multiple of 9073 and 9078 is 82364694.