Least Common Multiple of 306410 and 306418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 306410 and 306418 the smallest integer that is 46944769690 that is divisible by both numbers.

Least Common Multiple (LCM) of 306410 and 306418 is 46944769690.

LCM(306410,306418) = 46944769690

LCM of 306410 and 306418

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

LCM of:
and

Least Common Multiple of 306410 and 306418

LCM of 306410 and 306418 is 46944769690

Least common multiple can be found by multiplying the highest exponent prime factors of 306410 and 306418. First we will calculate the prime factors of 306410 and 306418.

Prime Factorization of 306410


2 306410
5 153205
13 30641
2357 2357
1

Prime factors of 306410 are 2, 5, 13,2357. Prime factorization of 306410 in exponential form is:

306410 = 21×51×131×23571

Prime Factorization of 306418


2 306418
7 153209
43 21887
509 509
1

Prime factors of 306418 are 2, 7, 43,509. Prime factorization of 306418 in exponential form is:

306418 = 21×71×431×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 306410 and 306418.

LCM(306410,306418) = 21×51×71×131×431×5091×23571
LCM(306410,306418) = 46944769690

Factors of 306410

List of positive integer factors of 306410 that divides 306410 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 2357, 4714, 11785, 23570, 30641, 61282, 153205, 306410

Factors of 306418

List of positive integer factors of 306418 that divides 306418 without a remainder.

1, 2, 7, 14, 43, 86, 301, 509, 602, 1018, 3563, 7126, 21887, 43774, 153209, 306418

Least Common Multiple of 306410 and 306418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306410 and 306418, than apply into the LCM equation.

GCF(306410,306418) = 2
LCM(306410,306418) = ( 306410 × 306418) / 2
LCM(306410,306418) = 93889539380 / 2
LCM(306410,306418) = 46944769690

Properties of LCM 306410 and 306418

(i) The LCM of 306418 and 306410 is associative

LCM of 306410 and 306418 = LCM of 306418 and 306410

Related Least Common Multiples of 306410

Related Least Common Multiples of 306418

Frequently Asked Questions on LCM of 306410 and 306418

1. What is the LCM of 306410 and 306418?

Answer: LCM of 306410 and 306418 is 46944769690.

2. What are the Factors of 306410?

Answer: Factors of 306410 are 1, 2, 5, 10, 13, 26, 65, 130, 2357, 4714, 11785, 23570, 30641, 61282, 153205, 306410. There are 16 integers that are factors of 306410. The greatest factor of 306410 is 306410.

3. What are the Factors of 306418?

Answer: Factors of 306418 are 1, 2, 7, 14, 43, 86, 301, 509, 602, 1018, 3563, 7126, 21887, 43774, 153209, 306418. There are 16 integers that are factors of 306418. The greatest factor of 306418 is 306418.

4. How to Find the LCM of 306410 and 306418?

Answer:

Least Common Multiple of 306410 and 306418 = 46944769690

Step 1: Find the prime factorization of 306410

306410 = 2 x 5 x 13 x 2357

Step 2: Find the prime factorization of 306418

306418 = 2 x 7 x 43 x 509

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

LCM = 46944769690 = 2 x 5 x 7 x 13 x 43 x 509 x 2357

Step 4: Therefore, the least common multiple of 306410 and 306418 is 46944769690.