Least Common Multiple of 9072 and 9077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9072 and 9077 the smallest integer that is 82346544 that is divisible by both numbers.

Least Common Multiple (LCM) of 9072 and 9077 is 82346544.

LCM(9072,9077) = 82346544

LCM of 9072 and 9077

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

LCM of:
and

Least Common Multiple of 9072 and 9077

LCM of 9072 and 9077 is 82346544

Least common multiple can be found by multiplying the highest exponent prime factors of 9072 and 9077. First we will calculate the prime factors of 9072 and 9077.

Prime Factorization of 9072


2 9072
2 4536
2 2268
2 1134
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 9072 are 2, 3,7. Prime factorization of 9072 in exponential form is:

9072 = 24×34×71

Prime Factorization of 9077


29 9077
313 313
1

Prime factors of 9077 are 29,313. Prime factorization of 9077 in exponential form is:

9077 = 291×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 9072 and 9077.

LCM(9072,9077) = 24×34×71×291×3131
LCM(9072,9077) = 82346544

Factors of 9072

List of positive integer factors of 9072 that divides 9072 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 252, 324, 336, 378, 432, 504, 567, 648, 756, 1008, 1134, 1296, 1512, 2268, 3024, 4536, 9072

Factors of 9077

List of positive integer factors of 9077 that divides 9077 without a remainder.

1, 29, 313, 9077

Least Common Multiple of 9072 and 9077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9072 and 9077, than apply into the LCM equation.

GCF(9072,9077) = 1
LCM(9072,9077) = ( 9072 × 9077) / 1
LCM(9072,9077) = 82346544 / 1
LCM(9072,9077) = 82346544

Properties of LCM 9072 and 9077

(i) The LCM of 9077 and 9072 is associative

LCM of 9072 and 9077 = LCM of 9077 and 9072

Related Least Common Multiples of 9072

Related Least Common Multiples of 9077

Frequently Asked Questions on LCM of 9072 and 9077

1. What is the LCM of 9072 and 9077?

Answer: LCM of 9072 and 9077 is 82346544.

2. What are the Factors of 9072?

Answer: Factors of 9072 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 252, 324, 336, 378, 432, 504, 567, 648, 756, 1008, 1134, 1296, 1512, 2268, 3024, 4536, 9072. There are 50 integers that are factors of 9072. The greatest factor of 9072 is 9072.

3. What are the Factors of 9077?

Answer: Factors of 9077 are 1, 29, 313, 9077. There are 4 integers that are factors of 9077. The greatest factor of 9077 is 9077.

4. How to Find the LCM of 9072 and 9077?

Answer:

Least Common Multiple of 9072 and 9077 = 82346544

Step 1: Find the prime factorization of 9072

9072 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 9077

9077 = 29 x 313

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

LCM = 82346544 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 29 x 313

Step 4: Therefore, the least common multiple of 9072 and 9077 is 82346544.