Least Common Multiple of 8072 and 8077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8072 and 8077 the smallest integer that is 65197544 that is divisible by both numbers.

Least Common Multiple (LCM) of 8072 and 8077 is 65197544.

LCM(8072,8077) = 65197544

LCM of 8072 and 8077

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

LCM of:
and

Least Common Multiple of 8072 and 8077

LCM of 8072 and 8077 is 65197544

Least common multiple can be found by multiplying the highest exponent prime factors of 8072 and 8077. First we will calculate the prime factors of 8072 and 8077.

Prime Factorization of 8072


2 8072
2 4036
2 2018
1009 1009
1

Prime factors of 8072 are 2,1009. Prime factorization of 8072 in exponential form is:

8072 = 23×10091

Prime Factorization of 8077


41 8077
197 197
1

Prime factors of 8077 are 41,197. Prime factorization of 8077 in exponential form is:

8077 = 411×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 8072 and 8077.

LCM(8072,8077) = 23×411×1971×10091
LCM(8072,8077) = 65197544

Factors of 8072

List of positive integer factors of 8072 that divides 8072 without a remainder.

1, 2, 4, 8, 1009, 2018, 4036, 8072

Factors of 8077

List of positive integer factors of 8077 that divides 8077 without a remainder.

1, 41, 197, 8077

Least Common Multiple of 8072 and 8077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8072 and 8077, than apply into the LCM equation.

GCF(8072,8077) = 1
LCM(8072,8077) = ( 8072 × 8077) / 1
LCM(8072,8077) = 65197544 / 1
LCM(8072,8077) = 65197544

Properties of LCM 8072 and 8077

(i) The LCM of 8077 and 8072 is associative

LCM of 8072 and 8077 = LCM of 8077 and 8072

Related Least Common Multiples of 8072

Related Least Common Multiples of 8077

Frequently Asked Questions on LCM of 8072 and 8077

1. What is the LCM of 8072 and 8077?

Answer: LCM of 8072 and 8077 is 65197544.

2. What are the Factors of 8072?

Answer: Factors of 8072 are 1, 2, 4, 8, 1009, 2018, 4036, 8072. There are 8 integers that are factors of 8072. The greatest factor of 8072 is 8072.

3. What are the Factors of 8077?

Answer: Factors of 8077 are 1, 41, 197, 8077. There are 4 integers that are factors of 8077. The greatest factor of 8077 is 8077.

4. How to Find the LCM of 8072 and 8077?

Answer:

Least Common Multiple of 8072 and 8077 = 65197544

Step 1: Find the prime factorization of 8072

8072 = 2 x 2 x 2 x 1009

Step 2: Find the prime factorization of 8077

8077 = 41 x 197

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

LCM = 65197544 = 2 x 2 x 2 x 41 x 197 x 1009

Step 4: Therefore, the least common multiple of 8072 and 8077 is 65197544.