Least Common Multiple of 7366 and 7373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7366 and 7373 the smallest integer that is 54309518 that is divisible by both numbers.

Least Common Multiple (LCM) of 7366 and 7373 is 54309518.

LCM(7366,7373) = 54309518

LCM of 7366 and 7373

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

LCM of:
and

Least Common Multiple of 7366 and 7373

LCM of 7366 and 7373 is 54309518

Least common multiple can be found by multiplying the highest exponent prime factors of 7366 and 7373. First we will calculate the prime factors of 7366 and 7373.

Prime Factorization of 7366


2 7366
29 3683
127 127
1

Prime factors of 7366 are 2, 29,127. Prime factorization of 7366 in exponential form is:

7366 = 21×291×1271

Prime Factorization of 7373


73 7373
101 101
1

Prime factors of 7373 are 73,101. Prime factorization of 7373 in exponential form is:

7373 = 731×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 7366 and 7373.

LCM(7366,7373) = 21×291×731×1011×1271
LCM(7366,7373) = 54309518

Factors of 7366

List of positive integer factors of 7366 that divides 7366 without a remainder.

1, 2, 29, 58, 127, 254, 3683, 7366

Factors of 7373

List of positive integer factors of 7373 that divides 7373 without a remainder.

1, 73, 101, 7373

Least Common Multiple of 7366 and 7373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7366 and 7373, than apply into the LCM equation.

GCF(7366,7373) = 1
LCM(7366,7373) = ( 7366 × 7373) / 1
LCM(7366,7373) = 54309518 / 1
LCM(7366,7373) = 54309518

Properties of LCM 7366 and 7373

(i) The LCM of 7373 and 7366 is associative

LCM of 7366 and 7373 = LCM of 7373 and 7366

Related Least Common Multiples of 7366

Related Least Common Multiples of 7373

Frequently Asked Questions on LCM of 7366 and 7373

1. What is the LCM of 7366 and 7373?

Answer: LCM of 7366 and 7373 is 54309518.

2. What are the Factors of 7366?

Answer: Factors of 7366 are 1, 2, 29, 58, 127, 254, 3683, 7366. There are 8 integers that are factors of 7366. The greatest factor of 7366 is 7366.

3. What are the Factors of 7373?

Answer: Factors of 7373 are 1, 73, 101, 7373. There are 4 integers that are factors of 7373. The greatest factor of 7373 is 7373.

4. How to Find the LCM of 7366 and 7373?

Answer:

Least Common Multiple of 7366 and 7373 = 54309518

Step 1: Find the prime factorization of 7366

7366 = 2 x 29 x 127

Step 2: Find the prime factorization of 7373

7373 = 73 x 101

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

LCM = 54309518 = 2 x 29 x 73 x 101 x 127

Step 4: Therefore, the least common multiple of 7366 and 7373 is 54309518.