Least Common Multiple of 7301 and 7307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7301 and 7307 the smallest integer that is 53348407 that is divisible by both numbers.

Least Common Multiple (LCM) of 7301 and 7307 is 53348407.

LCM(7301,7307) = 53348407

LCM of 7301 and 7307

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

LCM of:
and

Least Common Multiple of 7301 and 7307

LCM of 7301 and 7307 is 53348407

Least common multiple can be found by multiplying the highest exponent prime factors of 7301 and 7307. First we will calculate the prime factors of 7301 and 7307.

Prime Factorization of 7301


7 7301
7 1043
149 149
1

Prime factors of 7301 are 7,149. Prime factorization of 7301 in exponential form is:

7301 = 72×1491

Prime Factorization of 7307


7307 7307
1

Prime factors of 7307 are 7307. Prime factorization of 7307 in exponential form is:

7307 = 73071

Now multiplying the highest exponent prime factors to calculate the LCM of 7301 and 7307.

LCM(7301,7307) = 72×1491×73071
LCM(7301,7307) = 53348407

Factors of 7301

List of positive integer factors of 7301 that divides 7301 without a remainder.

1, 7, 49, 149, 1043, 7301

Factors of 7307

List of positive integer factors of 7307 that divides 7307 without a remainder.

1, 7307

Least Common Multiple of 7301 and 7307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7301 and 7307, than apply into the LCM equation.

GCF(7301,7307) = 1
LCM(7301,7307) = ( 7301 × 7307) / 1
LCM(7301,7307) = 53348407 / 1
LCM(7301,7307) = 53348407

Properties of LCM 7301 and 7307

(i) The LCM of 7307 and 7301 is associative

LCM of 7301 and 7307 = LCM of 7307 and 7301

Related Least Common Multiples of 7301

Related Least Common Multiples of 7307

Frequently Asked Questions on LCM of 7301 and 7307

1. What is the LCM of 7301 and 7307?

Answer: LCM of 7301 and 7307 is 53348407.

2. What are the Factors of 7301?

Answer: Factors of 7301 are 1, 7, 49, 149, 1043, 7301. There are 6 integers that are factors of 7301. The greatest factor of 7301 is 7301.

3. What are the Factors of 7307?

Answer: Factors of 7307 are 1, 7307. There are 2 integers that are factors of 7307. The greatest factor of 7307 is 7307.

4. How to Find the LCM of 7301 and 7307?

Answer:

Least Common Multiple of 7301 and 7307 = 53348407

Step 1: Find the prime factorization of 7301

7301 = 7 x 7 x 149

Step 2: Find the prime factorization of 7307

7307 = 7307

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

LCM = 53348407 = 7 x 7 x 149 x 7307

Step 4: Therefore, the least common multiple of 7301 and 7307 is 53348407.