Least Common Multiple of 307 and 308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307 and 308 the smallest integer that is 94556 that is divisible by both numbers.

Least Common Multiple (LCM) of 307 and 308 is 94556.

LCM(307,308) = 94556

LCM of 307 and 308

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

LCM of:
and

Least Common Multiple of 307 and 308

LCM of 307 and 308 is 94556

Least common multiple can be found by multiplying the highest exponent prime factors of 307 and 308. First we will calculate the prime factors of 307 and 308.

Prime Factorization of 307


307 307
1

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

307 = 3071

Prime Factorization of 308


2 308
2 154
7 77
11 11
1

Prime factors of 308 are 2, 7,11. Prime factorization of 308 in exponential form is:

308 = 22×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 307 and 308.

LCM(307,308) = 22×71×111×3071
LCM(307,308) = 94556

Factors of 307

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

1, 307

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Least Common Multiple of 307 and 308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307 and 308, than apply into the LCM equation.

GCF(307,308) = 1
LCM(307,308) = ( 307 × 308) / 1
LCM(307,308) = 94556 / 1
LCM(307,308) = 94556

Properties of LCM 307 and 308

(i) The LCM of 308 and 307 is associative

LCM of 307 and 308 = LCM of 308 and 307

Related Least Common Multiples of 307

Related Least Common Multiples of 308

Frequently Asked Questions on LCM of 307 and 308

1. What is the LCM of 307 and 308?

Answer: LCM of 307 and 308 is 94556.

2. 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.

3. What are the Factors of 308?

Answer: Factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308. There are 12 integers that are factors of 308. The greatest factor of 308 is 308.

4. How to Find the LCM of 307 and 308?

Answer:

Least Common Multiple of 307 and 308 = 94556

Step 1: Find the prime factorization of 307

307 = 307

Step 2: Find the prime factorization of 308

308 = 2 x 2 x 7 x 11

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

LCM = 94556 = 2 x 2 x 7 x 11 x 307

Step 4: Therefore, the least common multiple of 307 and 308 is 94556.