Least Common Multiple of 5085 and 5092

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5085 and 5092 the smallest integer that is 25892820 that is divisible by both numbers.

Least Common Multiple (LCM) of 5085 and 5092 is 25892820.

LCM(5085,5092) = 25892820

LCM of 5085 and 5092

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

LCM of:
and

Least Common Multiple of 5085 and 5092

LCM of 5085 and 5092 is 25892820

Least common multiple can be found by multiplying the highest exponent prime factors of 5085 and 5092. First we will calculate the prime factors of 5085 and 5092.

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

Prime Factorization of 5092


2 5092
2 2546
19 1273
67 67
1

Prime factors of 5092 are 2, 19,67. Prime factorization of 5092 in exponential form is:

5092 = 22×191×671

Now multiplying the highest exponent prime factors to calculate the LCM of 5085 and 5092.

LCM(5085,5092) = 22×32×51×191×671×1131
LCM(5085,5092) = 25892820

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

Factors of 5092

List of positive integer factors of 5092 that divides 5092 without a remainder.

1, 2, 4, 19, 38, 67, 76, 134, 268, 1273, 2546, 5092

Least Common Multiple of 5085 and 5092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5085 and 5092, than apply into the LCM equation.

GCF(5085,5092) = 1
LCM(5085,5092) = ( 5085 × 5092) / 1
LCM(5085,5092) = 25892820 / 1
LCM(5085,5092) = 25892820

Properties of LCM 5085 and 5092

(i) The LCM of 5092 and 5085 is associative

LCM of 5085 and 5092 = LCM of 5092 and 5085

Related Least Common Multiples of 5085

Related Least Common Multiples of 5092

Frequently Asked Questions on LCM of 5085 and 5092

1. What is the LCM of 5085 and 5092?

Answer: LCM of 5085 and 5092 is 25892820.

2. 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.

3. What are the Factors of 5092?

Answer: Factors of 5092 are 1, 2, 4, 19, 38, 67, 76, 134, 268, 1273, 2546, 5092. There are 12 integers that are factors of 5092. The greatest factor of 5092 is 5092.

4. How to Find the LCM of 5085 and 5092?

Answer:

Least Common Multiple of 5085 and 5092 = 25892820

Step 1: Find the prime factorization of 5085

5085 = 3 x 3 x 5 x 113

Step 2: Find the prime factorization of 5092

5092 = 2 x 2 x 19 x 67

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

LCM = 25892820 = 2 x 2 x 3 x 3 x 5 x 19 x 67 x 113

Step 4: Therefore, the least common multiple of 5085 and 5092 is 25892820.