Least Common Multiple of 7085 and 7092

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7085 and 7092 the smallest integer that is 50246820 that is divisible by both numbers.

Least Common Multiple (LCM) of 7085 and 7092 is 50246820.

LCM(7085,7092) = 50246820

LCM of 7085 and 7092

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

LCM of:
and

Least Common Multiple of 7085 and 7092

LCM of 7085 and 7092 is 50246820

Least common multiple can be found by multiplying the highest exponent prime factors of 7085 and 7092. First we will calculate the prime factors of 7085 and 7092.

Prime Factorization of 7085


5 7085
13 1417
109 109
1

Prime factors of 7085 are 5, 13,109. Prime factorization of 7085 in exponential form is:

7085 = 51×131×1091

Prime Factorization of 7092


2 7092
2 3546
3 1773
3 591
197 197
1

Prime factors of 7092 are 2, 3,197. Prime factorization of 7092 in exponential form is:

7092 = 22×32×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 7085 and 7092.

LCM(7085,7092) = 22×32×51×131×1091×1971
LCM(7085,7092) = 50246820

Factors of 7085

List of positive integer factors of 7085 that divides 7085 without a remainder.

1, 5, 13, 65, 109, 545, 1417, 7085

Factors of 7092

List of positive integer factors of 7092 that divides 7092 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 197, 394, 591, 788, 1182, 1773, 2364, 3546, 7092

Least Common Multiple of 7085 and 7092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7085 and 7092, than apply into the LCM equation.

GCF(7085,7092) = 1
LCM(7085,7092) = ( 7085 × 7092) / 1
LCM(7085,7092) = 50246820 / 1
LCM(7085,7092) = 50246820

Properties of LCM 7085 and 7092

(i) The LCM of 7092 and 7085 is associative

LCM of 7085 and 7092 = LCM of 7092 and 7085

Related Least Common Multiples of 7085

Related Least Common Multiples of 7092

Frequently Asked Questions on LCM of 7085 and 7092

1. What is the LCM of 7085 and 7092?

Answer: LCM of 7085 and 7092 is 50246820.

2. What are the Factors of 7085?

Answer: Factors of 7085 are 1, 5, 13, 65, 109, 545, 1417, 7085. There are 8 integers that are factors of 7085. The greatest factor of 7085 is 7085.

3. What are the Factors of 7092?

Answer: Factors of 7092 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 197, 394, 591, 788, 1182, 1773, 2364, 3546, 7092. There are 18 integers that are factors of 7092. The greatest factor of 7092 is 7092.

4. How to Find the LCM of 7085 and 7092?

Answer:

Least Common Multiple of 7085 and 7092 = 50246820

Step 1: Find the prime factorization of 7085

7085 = 5 x 13 x 109

Step 2: Find the prime factorization of 7092

7092 = 2 x 2 x 3 x 3 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 = 50246820 = 2 x 2 x 3 x 3 x 5 x 13 x 109 x 197

Step 4: Therefore, the least common multiple of 7085 and 7092 is 50246820.