Least Common Multiple of 7096 and 7101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7096 and 7101 the smallest integer that is 50388696 that is divisible by both numbers.

Least Common Multiple (LCM) of 7096 and 7101 is 50388696.

LCM(7096,7101) = 50388696

LCM of 7096 and 7101

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

LCM of:
and

Least Common Multiple of 7096 and 7101

LCM of 7096 and 7101 is 50388696

Least common multiple can be found by multiplying the highest exponent prime factors of 7096 and 7101. First we will calculate the prime factors of 7096 and 7101.

Prime Factorization of 7096


2 7096
2 3548
2 1774
887 887
1

Prime factors of 7096 are 2,887. Prime factorization of 7096 in exponential form is:

7096 = 23×8871

Prime Factorization of 7101


3 7101
3 2367
3 789
263 263
1

Prime factors of 7101 are 3,263. Prime factorization of 7101 in exponential form is:

7101 = 33×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 7096 and 7101.

LCM(7096,7101) = 23×33×2631×8871
LCM(7096,7101) = 50388696

Factors of 7096

List of positive integer factors of 7096 that divides 7096 without a remainder.

1, 2, 4, 8, 887, 1774, 3548, 7096

Factors of 7101

List of positive integer factors of 7101 that divides 7101 without a remainder.

1, 3, 9, 27, 263, 789, 2367, 7101

Least Common Multiple of 7096 and 7101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7096 and 7101, than apply into the LCM equation.

GCF(7096,7101) = 1
LCM(7096,7101) = ( 7096 × 7101) / 1
LCM(7096,7101) = 50388696 / 1
LCM(7096,7101) = 50388696

Properties of LCM 7096 and 7101

(i) The LCM of 7101 and 7096 is associative

LCM of 7096 and 7101 = LCM of 7101 and 7096

Related Least Common Multiples of 7096

Related Least Common Multiples of 7101

Frequently Asked Questions on LCM of 7096 and 7101

1. What is the LCM of 7096 and 7101?

Answer: LCM of 7096 and 7101 is 50388696.

2. What are the Factors of 7096?

Answer: Factors of 7096 are 1, 2, 4, 8, 887, 1774, 3548, 7096. There are 8 integers that are factors of 7096. The greatest factor of 7096 is 7096.

3. What are the Factors of 7101?

Answer: Factors of 7101 are 1, 3, 9, 27, 263, 789, 2367, 7101. There are 8 integers that are factors of 7101. The greatest factor of 7101 is 7101.

4. How to Find the LCM of 7096 and 7101?

Answer:

Least Common Multiple of 7096 and 7101 = 50388696

Step 1: Find the prime factorization of 7096

7096 = 2 x 2 x 2 x 887

Step 2: Find the prime factorization of 7101

7101 = 3 x 3 x 3 x 263

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

LCM = 50388696 = 2 x 2 x 2 x 3 x 3 x 3 x 263 x 887

Step 4: Therefore, the least common multiple of 7096 and 7101 is 50388696.