Least Common Multiple of 303 and 305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 303 and 305 the smallest integer that is 92415 that is divisible by both numbers.

Least Common Multiple (LCM) of 303 and 305 is 92415.

LCM(303,305) = 92415

LCM of 303 and 305

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

LCM of:
and

Least Common Multiple of 303 and 305

LCM of 303 and 305 is 92415

Least common multiple can be found by multiplying the highest exponent prime factors of 303 and 305. First we will calculate the prime factors of 303 and 305.

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

Prime Factorization of 305


5 305
61 61
1

Prime factors of 305 are 5,61. Prime factorization of 305 in exponential form is:

305 = 51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 303 and 305.

LCM(303,305) = 31×51×611×1011
LCM(303,305) = 92415

Factors of 303

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

1, 3, 101, 303

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Least Common Multiple of 303 and 305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 303 and 305, than apply into the LCM equation.

GCF(303,305) = 1
LCM(303,305) = ( 303 × 305) / 1
LCM(303,305) = 92415 / 1
LCM(303,305) = 92415

Properties of LCM 303 and 305

(i) The LCM of 305 and 303 is associative

LCM of 303 and 305 = LCM of 305 and 303

Related Least Common Multiples of 303

Related Least Common Multiples of 305

Frequently Asked Questions on LCM of 303 and 305

1. What is the LCM of 303 and 305?

Answer: LCM of 303 and 305 is 92415.

2. 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.

3. What are the Factors of 305?

Answer: Factors of 305 are 1, 5, 61, 305. There are 4 integers that are factors of 305. The greatest factor of 305 is 305.

4. How to Find the LCM of 303 and 305?

Answer:

Least Common Multiple of 303 and 305 = 92415

Step 1: Find the prime factorization of 303

303 = 3 x 101

Step 2: Find the prime factorization of 305

305 = 5 x 61

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

LCM = 92415 = 3 x 5 x 61 x 101

Step 4: Therefore, the least common multiple of 303 and 305 is 92415.