Least Common Multiple of 7387 and 7394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7387 and 7394 the smallest integer that is 54619478 that is divisible by both numbers.

Least Common Multiple (LCM) of 7387 and 7394 is 54619478.

LCM(7387,7394) = 54619478

LCM of 7387 and 7394

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

LCM of:
and

Least Common Multiple of 7387 and 7394

LCM of 7387 and 7394 is 54619478

Least common multiple can be found by multiplying the highest exponent prime factors of 7387 and 7394. First we will calculate the prime factors of 7387 and 7394.

Prime Factorization of 7387


83 7387
89 89
1

Prime factors of 7387 are 83,89. Prime factorization of 7387 in exponential form is:

7387 = 831×891

Prime Factorization of 7394


2 7394
3697 3697
1

Prime factors of 7394 are 2,3697. Prime factorization of 7394 in exponential form is:

7394 = 21×36971

Now multiplying the highest exponent prime factors to calculate the LCM of 7387 and 7394.

LCM(7387,7394) = 21×831×891×36971
LCM(7387,7394) = 54619478

Factors of 7387

List of positive integer factors of 7387 that divides 7387 without a remainder.

1, 83, 89, 7387

Factors of 7394

List of positive integer factors of 7394 that divides 7394 without a remainder.

1, 2, 3697, 7394

Least Common Multiple of 7387 and 7394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7387 and 7394, than apply into the LCM equation.

GCF(7387,7394) = 1
LCM(7387,7394) = ( 7387 × 7394) / 1
LCM(7387,7394) = 54619478 / 1
LCM(7387,7394) = 54619478

Properties of LCM 7387 and 7394

(i) The LCM of 7394 and 7387 is associative

LCM of 7387 and 7394 = LCM of 7394 and 7387

Related Least Common Multiples of 7387

Related Least Common Multiples of 7394

Frequently Asked Questions on LCM of 7387 and 7394

1. What is the LCM of 7387 and 7394?

Answer: LCM of 7387 and 7394 is 54619478.

2. What are the Factors of 7387?

Answer: Factors of 7387 are 1, 83, 89, 7387. There are 4 integers that are factors of 7387. The greatest factor of 7387 is 7387.

3. What are the Factors of 7394?

Answer: Factors of 7394 are 1, 2, 3697, 7394. There are 4 integers that are factors of 7394. The greatest factor of 7394 is 7394.

4. How to Find the LCM of 7387 and 7394?

Answer:

Least Common Multiple of 7387 and 7394 = 54619478

Step 1: Find the prime factorization of 7387

7387 = 83 x 89

Step 2: Find the prime factorization of 7394

7394 = 2 x 3697

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

LCM = 54619478 = 2 x 83 x 89 x 3697

Step 4: Therefore, the least common multiple of 7387 and 7394 is 54619478.