Least Common Multiple of 306435 and 306440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 306435 and 306440 the smallest integer that is 18780788280 that is divisible by both numbers.

Least Common Multiple (LCM) of 306435 and 306440 is 18780788280.

LCM(306435,306440) = 18780788280

LCM of 306435 and 306440

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

LCM of:
and

Least Common Multiple of 306435 and 306440

LCM of 306435 and 306440 is 18780788280

Least common multiple can be found by multiplying the highest exponent prime factors of 306435 and 306440. First we will calculate the prime factors of 306435 and 306440.

Prime Factorization of 306435


3 306435
5 102145
31 20429
659 659
1

Prime factors of 306435 are 3, 5, 31,659. Prime factorization of 306435 in exponential form is:

306435 = 31×51×311×6591

Prime Factorization of 306440


2 306440
2 153220
2 76610
5 38305
47 7661
163 163
1

Prime factors of 306440 are 2, 5, 47,163. Prime factorization of 306440 in exponential form is:

306440 = 23×51×471×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 306435 and 306440.

LCM(306435,306440) = 23×31×51×311×471×1631×6591
LCM(306435,306440) = 18780788280

Factors of 306435

List of positive integer factors of 306435 that divides 306435 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465, 659, 1977, 3295, 9885, 20429, 61287, 102145, 306435

Factors of 306440

List of positive integer factors of 306440 that divides 306440 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 47, 94, 163, 188, 235, 326, 376, 470, 652, 815, 940, 1304, 1630, 1880, 3260, 6520, 7661, 15322, 30644, 38305, 61288, 76610, 153220, 306440

Least Common Multiple of 306435 and 306440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306435 and 306440, than apply into the LCM equation.

GCF(306435,306440) = 5
LCM(306435,306440) = ( 306435 × 306440) / 5
LCM(306435,306440) = 93903941400 / 5
LCM(306435,306440) = 18780788280

Properties of LCM 306435 and 306440

(i) The LCM of 306440 and 306435 is associative

LCM of 306435 and 306440 = LCM of 306440 and 306435

Related Least Common Multiples of 306435

Related Least Common Multiples of 306440

Frequently Asked Questions on LCM of 306435 and 306440

1. What is the LCM of 306435 and 306440?

Answer: LCM of 306435 and 306440 is 18780788280.

2. What are the Factors of 306435?

Answer: Factors of 306435 are 1, 3, 5, 15, 31, 93, 155, 465, 659, 1977, 3295, 9885, 20429, 61287, 102145, 306435. There are 16 integers that are factors of 306435. The greatest factor of 306435 is 306435.

3. What are the Factors of 306440?

Answer: Factors of 306440 are 1, 2, 4, 5, 8, 10, 20, 40, 47, 94, 163, 188, 235, 326, 376, 470, 652, 815, 940, 1304, 1630, 1880, 3260, 6520, 7661, 15322, 30644, 38305, 61288, 76610, 153220, 306440. There are 32 integers that are factors of 306440. The greatest factor of 306440 is 306440.

4. How to Find the LCM of 306435 and 306440?

Answer:

Least Common Multiple of 306435 and 306440 = 18780788280

Step 1: Find the prime factorization of 306435

306435 = 3 x 5 x 31 x 659

Step 2: Find the prime factorization of 306440

306440 = 2 x 2 x 2 x 5 x 47 x 163

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

LCM = 18780788280 = 2 x 2 x 2 x 3 x 5 x 31 x 47 x 163 x 659

Step 4: Therefore, the least common multiple of 306435 and 306440 is 18780788280.