Least Common Multiple of 301 and 303

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 303 the smallest integer that is 91203 that is divisible by both numbers.

Least Common Multiple (LCM) of 301 and 303 is 91203.

LCM(301,303) = 91203

LCM of 301 and 303

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

LCM of:
and

Least Common Multiple of 301 and 303

LCM of 301 and 303 is 91203

Least common multiple can be found by multiplying the highest exponent prime factors of 301 and 303. First we will calculate the prime factors of 301 and 303.

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 303


3 303
101 101
1

Prime factors of 303 are 3,101. Prime factorization of 303 in exponential form is:

303 = 31×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 301 and 303.

LCM(301,303) = 31×71×431×1011
LCM(301,303) = 91203

Factors of 301

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

1, 7, 43, 301

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Least Common Multiple of 301 and 303 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 303, than apply into the LCM equation.

GCF(301,303) = 1
LCM(301,303) = ( 301 × 303) / 1
LCM(301,303) = 91203 / 1
LCM(301,303) = 91203

Properties of LCM 301 and 303

(i) The LCM of 303 and 301 is associative

LCM of 301 and 303 = LCM of 303 and 301

Related Least Common Multiples of 301

Related Least Common Multiples of 303

Frequently Asked Questions on LCM of 301 and 303

1. What is the LCM of 301 and 303?

Answer: LCM of 301 and 303 is 91203.

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 303?

Answer: Factors of 303 are 1, 3, 101, 303. There are 4 integers that are factors of 303. The greatest factor of 303 is 303.

4. How to Find the LCM of 301 and 303?

Answer:

Least Common Multiple of 301 and 303 = 91203

Step 1: Find the prime factorization of 301

301 = 7 x 43

Step 2: Find the prime factorization of 303

303 = 3 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 = 91203 = 3 x 7 x 43 x 101

Step 4: Therefore, the least common multiple of 301 and 303 is 91203.