Least Common Multiple of 308426 and 308430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 308426 and 308430 the smallest integer that is 47563915590 that is divisible by both numbers.

Least Common Multiple (LCM) of 308426 and 308430 is 47563915590.

LCM(308426,308430) = 47563915590

LCM of 308426 and 308430

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

LCM of:
and

Least Common Multiple of 308426 and 308430

LCM of 308426 and 308430 is 47563915590

Least common multiple can be found by multiplying the highest exponent prime factors of 308426 and 308430. First we will calculate the prime factors of 308426 and 308430.

Prime Factorization of 308426


2 308426
154213 154213
1

Prime factors of 308426 are 2,154213. Prime factorization of 308426 in exponential form is:

308426 = 21×1542131

Prime Factorization of 308430


2 308430
3 154215
3 51405
5 17135
23 3427
149 149
1

Prime factors of 308430 are 2, 3, 5, 23,149. Prime factorization of 308430 in exponential form is:

308430 = 21×32×51×231×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 308426 and 308430.

LCM(308426,308430) = 21×32×51×231×1491×1542131
LCM(308426,308430) = 47563915590

Factors of 308426

List of positive integer factors of 308426 that divides 308426 without a remainder.

1, 2, 154213, 308426

Factors of 308430

List of positive integer factors of 308430 that divides 308430 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 149, 207, 230, 298, 345, 414, 447, 690, 745, 894, 1035, 1341, 1490, 2070, 2235, 2682, 3427, 4470, 6705, 6854, 10281, 13410, 17135, 20562, 30843, 34270, 51405, 61686, 102810, 154215, 308430

Least Common Multiple of 308426 and 308430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308426 and 308430, than apply into the LCM equation.

GCF(308426,308430) = 2
LCM(308426,308430) = ( 308426 × 308430) / 2
LCM(308426,308430) = 95127831180 / 2
LCM(308426,308430) = 47563915590

Properties of LCM 308426 and 308430

(i) The LCM of 308430 and 308426 is associative

LCM of 308426 and 308430 = LCM of 308430 and 308426

Related Least Common Multiples of 308426

Related Least Common Multiples of 308430

Frequently Asked Questions on LCM of 308426 and 308430

1. What is the LCM of 308426 and 308430?

Answer: LCM of 308426 and 308430 is 47563915590.

2. What are the Factors of 308426?

Answer: Factors of 308426 are 1, 2, 154213, 308426. There are 4 integers that are factors of 308426. The greatest factor of 308426 is 308426.

3. What are the Factors of 308430?

Answer: Factors of 308430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 149, 207, 230, 298, 345, 414, 447, 690, 745, 894, 1035, 1341, 1490, 2070, 2235, 2682, 3427, 4470, 6705, 6854, 10281, 13410, 17135, 20562, 30843, 34270, 51405, 61686, 102810, 154215, 308430. There are 48 integers that are factors of 308430. The greatest factor of 308430 is 308430.

4. How to Find the LCM of 308426 and 308430?

Answer:

Least Common Multiple of 308426 and 308430 = 47563915590

Step 1: Find the prime factorization of 308426

308426 = 2 x 154213

Step 2: Find the prime factorization of 308430

308430 = 2 x 3 x 3 x 5 x 23 x 149

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

LCM = 47563915590 = 2 x 3 x 3 x 5 x 23 x 149 x 154213

Step 4: Therefore, the least common multiple of 308426 and 308430 is 47563915590.