Least Common Multiple of 5077 and 5085

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5077 and 5085 the smallest integer that is 25816545 that is divisible by both numbers.

Least Common Multiple (LCM) of 5077 and 5085 is 25816545.

LCM(5077,5085) = 25816545

LCM of 5077 and 5085

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

LCM of:
and

Least Common Multiple of 5077 and 5085

LCM of 5077 and 5085 is 25816545

Least common multiple can be found by multiplying the highest exponent prime factors of 5077 and 5085. First we will calculate the prime factors of 5077 and 5085.

Prime Factorization of 5077


5077 5077
1

Prime factors of 5077 are 5077. Prime factorization of 5077 in exponential form is:

5077 = 50771

Prime Factorization of 5085


3 5085
3 1695
5 565
113 113
1

Prime factors of 5085 are 3, 5,113. Prime factorization of 5085 in exponential form is:

5085 = 32×51×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 5077 and 5085.

LCM(5077,5085) = 32×51×1131×50771
LCM(5077,5085) = 25816545

Factors of 5077

List of positive integer factors of 5077 that divides 5077 without a remainder.

1, 5077

Factors of 5085

List of positive integer factors of 5085 that divides 5085 without a remainder.

1, 3, 5, 9, 15, 45, 113, 339, 565, 1017, 1695, 5085

Least Common Multiple of 5077 and 5085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5077 and 5085, than apply into the LCM equation.

GCF(5077,5085) = 1
LCM(5077,5085) = ( 5077 × 5085) / 1
LCM(5077,5085) = 25816545 / 1
LCM(5077,5085) = 25816545

Properties of LCM 5077 and 5085

(i) The LCM of 5085 and 5077 is associative

LCM of 5077 and 5085 = LCM of 5085 and 5077

Related Least Common Multiples of 5077

Related Least Common Multiples of 5085

Frequently Asked Questions on LCM of 5077 and 5085

1. What is the LCM of 5077 and 5085?

Answer: LCM of 5077 and 5085 is 25816545.

2. What are the Factors of 5077?

Answer: Factors of 5077 are 1, 5077. There are 2 integers that are factors of 5077. The greatest factor of 5077 is 5077.

3. What are the Factors of 5085?

Answer: Factors of 5085 are 1, 3, 5, 9, 15, 45, 113, 339, 565, 1017, 1695, 5085. There are 12 integers that are factors of 5085. The greatest factor of 5085 is 5085.

4. How to Find the LCM of 5077 and 5085?

Answer:

Least Common Multiple of 5077 and 5085 = 25816545

Step 1: Find the prime factorization of 5077

5077 = 5077

Step 2: Find the prime factorization of 5085

5085 = 3 x 3 x 5 x 113

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

LCM = 25816545 = 3 x 3 x 5 x 113 x 5077

Step 4: Therefore, the least common multiple of 5077 and 5085 is 25816545.