Least Common Multiple of 7079 and 7085

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7079 and 7085 the smallest integer that is 50154715 that is divisible by both numbers.

Least Common Multiple (LCM) of 7079 and 7085 is 50154715.

LCM(7079,7085) = 50154715

LCM of 7079 and 7085

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

LCM of:
and

Least Common Multiple of 7079 and 7085

LCM of 7079 and 7085 is 50154715

Least common multiple can be found by multiplying the highest exponent prime factors of 7079 and 7085. First we will calculate the prime factors of 7079 and 7085.

Prime Factorization of 7079


7079 7079
1

Prime factors of 7079 are 7079. Prime factorization of 7079 in exponential form is:

7079 = 70791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7079 and 7085.

LCM(7079,7085) = 51×131×1091×70791
LCM(7079,7085) = 50154715

Factors of 7079

List of positive integer factors of 7079 that divides 7079 without a remainder.

1, 7079

Factors of 7085

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

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

Least Common Multiple of 7079 and 7085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7079 and 7085, than apply into the LCM equation.

GCF(7079,7085) = 1
LCM(7079,7085) = ( 7079 × 7085) / 1
LCM(7079,7085) = 50154715 / 1
LCM(7079,7085) = 50154715

Properties of LCM 7079 and 7085

(i) The LCM of 7085 and 7079 is associative

LCM of 7079 and 7085 = LCM of 7085 and 7079

Related Least Common Multiples of 7079

Related Least Common Multiples of 7085

Frequently Asked Questions on LCM of 7079 and 7085

1. What is the LCM of 7079 and 7085?

Answer: LCM of 7079 and 7085 is 50154715.

2. What are the Factors of 7079?

Answer: Factors of 7079 are 1, 7079. There are 2 integers that are factors of 7079. The greatest factor of 7079 is 7079.

3. 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.

4. How to Find the LCM of 7079 and 7085?

Answer:

Least Common Multiple of 7079 and 7085 = 50154715

Step 1: Find the prime factorization of 7079

7079 = 7079

Step 2: Find the prime factorization of 7085

7085 = 5 x 13 x 109

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

LCM = 50154715 = 5 x 13 x 109 x 7079

Step 4: Therefore, the least common multiple of 7079 and 7085 is 50154715.