Least Common Multiple of 7439 and 7446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7439 and 7446 the smallest integer that is 55390794 that is divisible by both numbers.

Least Common Multiple (LCM) of 7439 and 7446 is 55390794.

LCM(7439,7446) = 55390794

LCM of 7439 and 7446

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

LCM of:
and

Least Common Multiple of 7439 and 7446

LCM of 7439 and 7446 is 55390794

Least common multiple can be found by multiplying the highest exponent prime factors of 7439 and 7446. First we will calculate the prime factors of 7439 and 7446.

Prime Factorization of 7439


43 7439
173 173
1

Prime factors of 7439 are 43,173. Prime factorization of 7439 in exponential form is:

7439 = 431×1731

Prime Factorization of 7446


2 7446
3 3723
17 1241
73 73
1

Prime factors of 7446 are 2, 3, 17,73. Prime factorization of 7446 in exponential form is:

7446 = 21×31×171×731

Now multiplying the highest exponent prime factors to calculate the LCM of 7439 and 7446.

LCM(7439,7446) = 21×31×171×431×731×1731
LCM(7439,7446) = 55390794

Factors of 7439

List of positive integer factors of 7439 that divides 7439 without a remainder.

1, 43, 173, 7439

Factors of 7446

List of positive integer factors of 7446 that divides 7446 without a remainder.

1, 2, 3, 6, 17, 34, 51, 73, 102, 146, 219, 438, 1241, 2482, 3723, 7446

Least Common Multiple of 7439 and 7446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7439 and 7446, than apply into the LCM equation.

GCF(7439,7446) = 1
LCM(7439,7446) = ( 7439 × 7446) / 1
LCM(7439,7446) = 55390794 / 1
LCM(7439,7446) = 55390794

Properties of LCM 7439 and 7446

(i) The LCM of 7446 and 7439 is associative

LCM of 7439 and 7446 = LCM of 7446 and 7439

Related Least Common Multiples of 7439

Related Least Common Multiples of 7446

Frequently Asked Questions on LCM of 7439 and 7446

1. What is the LCM of 7439 and 7446?

Answer: LCM of 7439 and 7446 is 55390794.

2. What are the Factors of 7439?

Answer: Factors of 7439 are 1, 43, 173, 7439. There are 4 integers that are factors of 7439. The greatest factor of 7439 is 7439.

3. What are the Factors of 7446?

Answer: Factors of 7446 are 1, 2, 3, 6, 17, 34, 51, 73, 102, 146, 219, 438, 1241, 2482, 3723, 7446. There are 16 integers that are factors of 7446. The greatest factor of 7446 is 7446.

4. How to Find the LCM of 7439 and 7446?

Answer:

Least Common Multiple of 7439 and 7446 = 55390794

Step 1: Find the prime factorization of 7439

7439 = 43 x 173

Step 2: Find the prime factorization of 7446

7446 = 2 x 3 x 17 x 73

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

LCM = 55390794 = 2 x 3 x 17 x 43 x 73 x 173

Step 4: Therefore, the least common multiple of 7439 and 7446 is 55390794.