Least Common Multiple of 307408 and 307412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307408 and 307412 the smallest integer that is 23625227024 that is divisible by both numbers.

Least Common Multiple (LCM) of 307408 and 307412 is 23625227024.

LCM(307408,307412) = 23625227024

LCM of 307408 and 307412

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

LCM of:
and

Least Common Multiple of 307408 and 307412

LCM of 307408 and 307412 is 23625227024

Least common multiple can be found by multiplying the highest exponent prime factors of 307408 and 307412. First we will calculate the prime factors of 307408 and 307412.

Prime Factorization of 307408


2 307408
2 153704
2 76852
2 38426
19213 19213
1

Prime factors of 307408 are 2,19213. Prime factorization of 307408 in exponential form is:

307408 = 24×192131

Prime Factorization of 307412


2 307412
2 153706
7 76853
10979 10979
1

Prime factors of 307412 are 2, 7,10979. Prime factorization of 307412 in exponential form is:

307412 = 22×71×109791

Now multiplying the highest exponent prime factors to calculate the LCM of 307408 and 307412.

LCM(307408,307412) = 24×71×109791×192131
LCM(307408,307412) = 23625227024

Factors of 307408

List of positive integer factors of 307408 that divides 307408 without a remainder.

1, 2, 4, 8, 16, 19213, 38426, 76852, 153704, 307408

Factors of 307412

List of positive integer factors of 307412 that divides 307412 without a remainder.

1, 2, 4, 7, 14, 28, 10979, 21958, 43916, 76853, 153706, 307412

Least Common Multiple of 307408 and 307412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307408 and 307412, than apply into the LCM equation.

GCF(307408,307412) = 4
LCM(307408,307412) = ( 307408 × 307412) / 4
LCM(307408,307412) = 94500908096 / 4
LCM(307408,307412) = 23625227024

Properties of LCM 307408 and 307412

(i) The LCM of 307412 and 307408 is associative

LCM of 307408 and 307412 = LCM of 307412 and 307408

Related Least Common Multiples of 307408

Related Least Common Multiples of 307412

Frequently Asked Questions on LCM of 307408 and 307412

1. What is the LCM of 307408 and 307412?

Answer: LCM of 307408 and 307412 is 23625227024.

2. What are the Factors of 307408?

Answer: Factors of 307408 are 1, 2, 4, 8, 16, 19213, 38426, 76852, 153704, 307408. There are 10 integers that are factors of 307408. The greatest factor of 307408 is 307408.

3. What are the Factors of 307412?

Answer: Factors of 307412 are 1, 2, 4, 7, 14, 28, 10979, 21958, 43916, 76853, 153706, 307412. There are 12 integers that are factors of 307412. The greatest factor of 307412 is 307412.

4. How to Find the LCM of 307408 and 307412?

Answer:

Least Common Multiple of 307408 and 307412 = 23625227024

Step 1: Find the prime factorization of 307408

307408 = 2 x 2 x 2 x 2 x 19213

Step 2: Find the prime factorization of 307412

307412 = 2 x 2 x 7 x 10979

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

LCM = 23625227024 = 2 x 2 x 2 x 2 x 7 x 10979 x 19213

Step 4: Therefore, the least common multiple of 307408 and 307412 is 23625227024.