Least Common Multiple of 7094 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 7094 and 7101 the smallest integer that is 50374494 that is divisible by both numbers.

Least Common Multiple (LCM) of 7094 and 7101 is 50374494.

LCM(7094,7101) = 50374494

LCM of 7094 and 7101

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

LCM of:
and

Least Common Multiple of 7094 and 7101

LCM of 7094 and 7101 is 50374494

Least common multiple can be found by multiplying the highest exponent prime factors of 7094 and 7101. First we will calculate the prime factors of 7094 and 7101.

Prime Factorization of 7094


2 7094
3547 3547
1

Prime factors of 7094 are 2,3547. Prime factorization of 7094 in exponential form is:

7094 = 21×35471

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 7094 and 7101.

LCM(7094,7101) = 21×33×2631×35471
LCM(7094,7101) = 50374494

Factors of 7094

List of positive integer factors of 7094 that divides 7094 without a remainder.

1, 2, 3547, 7094

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 7094 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 7094 and 7101, than apply into the LCM equation.

GCF(7094,7101) = 1
LCM(7094,7101) = ( 7094 × 7101) / 1
LCM(7094,7101) = 50374494 / 1
LCM(7094,7101) = 50374494

Properties of LCM 7094 and 7101

(i) The LCM of 7101 and 7094 is associative

LCM of 7094 and 7101 = LCM of 7101 and 7094

Related Least Common Multiples of 7094

Related Least Common Multiples of 7101

Frequently Asked Questions on LCM of 7094 and 7101

1. What is the LCM of 7094 and 7101?

Answer: LCM of 7094 and 7101 is 50374494.

2. What are the Factors of 7094?

Answer: Factors of 7094 are 1, 2, 3547, 7094. There are 4 integers that are factors of 7094. The greatest factor of 7094 is 7094.

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 7094 and 7101?

Answer:

Least Common Multiple of 7094 and 7101 = 50374494

Step 1: Find the prime factorization of 7094

7094 = 2 x 3547

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 = 50374494 = 2 x 3 x 3 x 3 x 263 x 3547

Step 4: Therefore, the least common multiple of 7094 and 7101 is 50374494.