Least Common Multiple of 308406 and 308414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 308406 and 308414 the smallest integer that is 47558364042 that is divisible by both numbers.

Least Common Multiple (LCM) of 308406 and 308414 is 47558364042.

LCM(308406,308414) = 47558364042

LCM of 308406 and 308414

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

LCM of:
and

Least Common Multiple of 308406 and 308414

LCM of 308406 and 308414 is 47558364042

Least common multiple can be found by multiplying the highest exponent prime factors of 308406 and 308414. First we will calculate the prime factors of 308406 and 308414.

Prime Factorization of 308406


2 308406
3 154203
7 51401
7 7343
1049 1049
1

Prime factors of 308406 are 2, 3, 7,1049. Prime factorization of 308406 in exponential form is:

308406 = 21×31×72×10491

Prime Factorization of 308414


2 308414
17 154207
47 9071
193 193
1

Prime factors of 308414 are 2, 17, 47,193. Prime factorization of 308414 in exponential form is:

308414 = 21×171×471×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 308406 and 308414.

LCM(308406,308414) = 21×31×72×171×471×1931×10491
LCM(308406,308414) = 47558364042

Factors of 308406

List of positive integer factors of 308406 that divides 308406 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 1049, 2098, 3147, 6294, 7343, 14686, 22029, 44058, 51401, 102802, 154203, 308406

Factors of 308414

List of positive integer factors of 308414 that divides 308414 without a remainder.

1, 2, 17, 34, 47, 94, 193, 386, 799, 1598, 3281, 6562, 9071, 18142, 154207, 308414

Least Common Multiple of 308406 and 308414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308406 and 308414, than apply into the LCM equation.

GCF(308406,308414) = 2
LCM(308406,308414) = ( 308406 × 308414) / 2
LCM(308406,308414) = 95116728084 / 2
LCM(308406,308414) = 47558364042

Properties of LCM 308406 and 308414

(i) The LCM of 308414 and 308406 is associative

LCM of 308406 and 308414 = LCM of 308414 and 308406

Related Least Common Multiples of 308406

Related Least Common Multiples of 308414

Frequently Asked Questions on LCM of 308406 and 308414

1. What is the LCM of 308406 and 308414?

Answer: LCM of 308406 and 308414 is 47558364042.

2. What are the Factors of 308406?

Answer: Factors of 308406 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 1049, 2098, 3147, 6294, 7343, 14686, 22029, 44058, 51401, 102802, 154203, 308406. There are 24 integers that are factors of 308406. The greatest factor of 308406 is 308406.

3. What are the Factors of 308414?

Answer: Factors of 308414 are 1, 2, 17, 34, 47, 94, 193, 386, 799, 1598, 3281, 6562, 9071, 18142, 154207, 308414. There are 16 integers that are factors of 308414. The greatest factor of 308414 is 308414.

4. How to Find the LCM of 308406 and 308414?

Answer:

Least Common Multiple of 308406 and 308414 = 47558364042

Step 1: Find the prime factorization of 308406

308406 = 2 x 3 x 7 x 7 x 1049

Step 2: Find the prime factorization of 308414

308414 = 2 x 17 x 47 x 193

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

LCM = 47558364042 = 2 x 3 x 7 x 7 x 17 x 47 x 193 x 1049

Step 4: Therefore, the least common multiple of 308406 and 308414 is 47558364042.