Least Common Multiple of 306418 and 306425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 306418 and 306425 the smallest integer that is 13413447950 that is divisible by both numbers.

Least Common Multiple (LCM) of 306418 and 306425 is 13413447950.

LCM(306418,306425) = 13413447950

LCM of 306418 and 306425

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

LCM of:
and

Least Common Multiple of 306418 and 306425

LCM of 306418 and 306425 is 13413447950

Least common multiple can be found by multiplying the highest exponent prime factors of 306418 and 306425. First we will calculate the prime factors of 306418 and 306425.

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

Prime Factorization of 306425


5 306425
5 61285
7 12257
17 1751
103 103
1

Prime factors of 306425 are 5, 7, 17,103. Prime factorization of 306425 in exponential form is:

306425 = 52×71×171×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 306418 and 306425.

LCM(306418,306425) = 21×52×71×171×431×1031×5091
LCM(306418,306425) = 13413447950

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

Factors of 306425

List of positive integer factors of 306425 that divides 306425 without a remainder.

1, 5, 7, 17, 25, 35, 85, 103, 119, 175, 425, 515, 595, 721, 1751, 2575, 2975, 3605, 8755, 12257, 18025, 43775, 61285, 306425

Least Common Multiple of 306418 and 306425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306418 and 306425, than apply into the LCM equation.

GCF(306418,306425) = 7
LCM(306418,306425) = ( 306418 × 306425) / 7
LCM(306418,306425) = 93894135650 / 7
LCM(306418,306425) = 13413447950

Properties of LCM 306418 and 306425

(i) The LCM of 306425 and 306418 is associative

LCM of 306418 and 306425 = LCM of 306425 and 306418

Related Least Common Multiples of 306418

Related Least Common Multiples of 306425

Frequently Asked Questions on LCM of 306418 and 306425

1. What is the LCM of 306418 and 306425?

Answer: LCM of 306418 and 306425 is 13413447950.

2. 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.

3. What are the Factors of 306425?

Answer: Factors of 306425 are 1, 5, 7, 17, 25, 35, 85, 103, 119, 175, 425, 515, 595, 721, 1751, 2575, 2975, 3605, 8755, 12257, 18025, 43775, 61285, 306425. There are 24 integers that are factors of 306425. The greatest factor of 306425 is 306425.

4. How to Find the LCM of 306418 and 306425?

Answer:

Least Common Multiple of 306418 and 306425 = 13413447950

Step 1: Find the prime factorization of 306418

306418 = 2 x 7 x 43 x 509

Step 2: Find the prime factorization of 306425

306425 = 5 x 5 x 7 x 17 x 103

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

LCM = 13413447950 = 2 x 5 x 5 x 7 x 17 x 43 x 103 x 509

Step 4: Therefore, the least common multiple of 306418 and 306425 is 13413447950.