Least Common Multiple of 301 and 307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 301 and 307 the smallest integer that is 92407 that is divisible by both numbers.

Least Common Multiple (LCM) of 301 and 307 is 92407.

LCM(301,307) = 92407

LCM of 301 and 307

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

LCM of:
and

Least Common Multiple of 301 and 307

LCM of 301 and 307 is 92407

Least common multiple can be found by multiplying the highest exponent prime factors of 301 and 307. First we will calculate the prime factors of 301 and 307.

Prime Factorization of 301


7 301
43 43
1

Prime factors of 301 are 7,43. Prime factorization of 301 in exponential form is:

301 = 71×431

Prime Factorization of 307


307 307
1

Prime factors of 307 are 307. Prime factorization of 307 in exponential form is:

307 = 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 301 and 307.

LCM(301,307) = 71×431×3071
LCM(301,307) = 92407

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1, 307

Least Common Multiple of 301 and 307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 301 and 307, than apply into the LCM equation.

GCF(301,307) = 1
LCM(301,307) = ( 301 × 307) / 1
LCM(301,307) = 92407 / 1
LCM(301,307) = 92407

Properties of LCM 301 and 307

(i) The LCM of 307 and 301 is associative

LCM of 301 and 307 = LCM of 307 and 301

Related Least Common Multiples of 301

Related Least Common Multiples of 307

Frequently Asked Questions on LCM of 301 and 307

1. What is the LCM of 301 and 307?

Answer: LCM of 301 and 307 is 92407.

2. What are the Factors of 301?

Answer: Factors of 301 are 1, 7, 43, 301. There are 4 integers that are factors of 301. The greatest factor of 301 is 301.

3. What are the Factors of 307?

Answer: Factors of 307 are 1, 307. There are 2 integers that are factors of 307. The greatest factor of 307 is 307.

4. How to Find the LCM of 301 and 307?

Answer:

Least Common Multiple of 301 and 307 = 92407

Step 1: Find the prime factorization of 301

301 = 7 x 43

Step 2: Find the prime factorization of 307

307 = 307

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

LCM = 92407 = 7 x 43 x 307

Step 4: Therefore, the least common multiple of 301 and 307 is 92407.