Least Common Multiple of 7372 and 7379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7372 and 7379 the smallest integer that is 54397988 that is divisible by both numbers.

Least Common Multiple (LCM) of 7372 and 7379 is 54397988.

LCM(7372,7379) = 54397988

LCM of 7372 and 7379

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

LCM of:
and

Least Common Multiple of 7372 and 7379

LCM of 7372 and 7379 is 54397988

Least common multiple can be found by multiplying the highest exponent prime factors of 7372 and 7379. First we will calculate the prime factors of 7372 and 7379.

Prime Factorization of 7372


2 7372
2 3686
19 1843
97 97
1

Prime factors of 7372 are 2, 19,97. Prime factorization of 7372 in exponential form is:

7372 = 22×191×971

Prime Factorization of 7379


47 7379
157 157
1

Prime factors of 7379 are 47,157. Prime factorization of 7379 in exponential form is:

7379 = 471×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 7372 and 7379.

LCM(7372,7379) = 22×191×471×971×1571
LCM(7372,7379) = 54397988

Factors of 7372

List of positive integer factors of 7372 that divides 7372 without a remainder.

1, 2, 4, 19, 38, 76, 97, 194, 388, 1843, 3686, 7372

Factors of 7379

List of positive integer factors of 7379 that divides 7379 without a remainder.

1, 47, 157, 7379

Least Common Multiple of 7372 and 7379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7372 and 7379, than apply into the LCM equation.

GCF(7372,7379) = 1
LCM(7372,7379) = ( 7372 × 7379) / 1
LCM(7372,7379) = 54397988 / 1
LCM(7372,7379) = 54397988

Properties of LCM 7372 and 7379

(i) The LCM of 7379 and 7372 is associative

LCM of 7372 and 7379 = LCM of 7379 and 7372

Related Least Common Multiples of 7372

Related Least Common Multiples of 7379

Frequently Asked Questions on LCM of 7372 and 7379

1. What is the LCM of 7372 and 7379?

Answer: LCM of 7372 and 7379 is 54397988.

2. What are the Factors of 7372?

Answer: Factors of 7372 are 1, 2, 4, 19, 38, 76, 97, 194, 388, 1843, 3686, 7372. There are 12 integers that are factors of 7372. The greatest factor of 7372 is 7372.

3. What are the Factors of 7379?

Answer: Factors of 7379 are 1, 47, 157, 7379. There are 4 integers that are factors of 7379. The greatest factor of 7379 is 7379.

4. How to Find the LCM of 7372 and 7379?

Answer:

Least Common Multiple of 7372 and 7379 = 54397988

Step 1: Find the prime factorization of 7372

7372 = 2 x 2 x 19 x 97

Step 2: Find the prime factorization of 7379

7379 = 47 x 157

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

LCM = 54397988 = 2 x 2 x 19 x 47 x 97 x 157

Step 4: Therefore, the least common multiple of 7372 and 7379 is 54397988.