Least Common Multiple of 307404 and 307408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307404 and 307408 the smallest integer that is 23624612208 that is divisible by both numbers.

Least Common Multiple (LCM) of 307404 and 307408 is 23624612208.

LCM(307404,307408) = 23624612208

LCM of 307404 and 307408

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

LCM of:
and

Least Common Multiple of 307404 and 307408

LCM of 307404 and 307408 is 23624612208

Least common multiple can be found by multiplying the highest exponent prime factors of 307404 and 307408. First we will calculate the prime factors of 307404 and 307408.

Prime Factorization of 307404


2 307404
2 153702
3 76851
3 25617
8539 8539
1

Prime factors of 307404 are 2, 3,8539. Prime factorization of 307404 in exponential form is:

307404 = 22×32×85391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 307404 and 307408.

LCM(307404,307408) = 24×32×85391×192131
LCM(307404,307408) = 23624612208

Factors of 307404

List of positive integer factors of 307404 that divides 307404 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 8539, 17078, 25617, 34156, 51234, 76851, 102468, 153702, 307404

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

Least Common Multiple of 307404 and 307408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307404 and 307408, than apply into the LCM equation.

GCF(307404,307408) = 4
LCM(307404,307408) = ( 307404 × 307408) / 4
LCM(307404,307408) = 94498448832 / 4
LCM(307404,307408) = 23624612208

Properties of LCM 307404 and 307408

(i) The LCM of 307408 and 307404 is associative

LCM of 307404 and 307408 = LCM of 307408 and 307404

Related Least Common Multiples of 307404

Related Least Common Multiples of 307408

Frequently Asked Questions on LCM of 307404 and 307408

1. What is the LCM of 307404 and 307408?

Answer: LCM of 307404 and 307408 is 23624612208.

2. What are the Factors of 307404?

Answer: Factors of 307404 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 8539, 17078, 25617, 34156, 51234, 76851, 102468, 153702, 307404. There are 18 integers that are factors of 307404. The greatest factor of 307404 is 307404.

3. 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.

4. How to Find the LCM of 307404 and 307408?

Answer:

Least Common Multiple of 307404 and 307408 = 23624612208

Step 1: Find the prime factorization of 307404

307404 = 2 x 2 x 3 x 3 x 8539

Step 2: Find the prime factorization of 307408

307408 = 2 x 2 x 2 x 2 x 19213

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

LCM = 23624612208 = 2 x 2 x 2 x 2 x 3 x 3 x 8539 x 19213

Step 4: Therefore, the least common multiple of 307404 and 307408 is 23624612208.