Least Common Multiple of 306436 and 306444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 306436 and 306444 the smallest integer that is 23476368396 that is divisible by both numbers.

Least Common Multiple (LCM) of 306436 and 306444 is 23476368396.

LCM(306436,306444) = 23476368396

LCM of 306436 and 306444

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

LCM of:
and

Least Common Multiple of 306436 and 306444

LCM of 306436 and 306444 is 23476368396

Least common multiple can be found by multiplying the highest exponent prime factors of 306436 and 306444. First we will calculate the prime factors of 306436 and 306444.

Prime Factorization of 306436


2 306436
2 153218
13 76609
71 5893
83 83
1

Prime factors of 306436 are 2, 13, 71,83. Prime factorization of 306436 in exponential form is:

306436 = 22×131×711×831

Prime Factorization of 306444


2 306444
2 153222
3 76611
25537 25537
1

Prime factors of 306444 are 2, 3,25537. Prime factorization of 306444 in exponential form is:

306444 = 22×31×255371

Now multiplying the highest exponent prime factors to calculate the LCM of 306436 and 306444.

LCM(306436,306444) = 22×31×131×711×831×255371
LCM(306436,306444) = 23476368396

Factors of 306436

List of positive integer factors of 306436 that divides 306436 without a remainder.

1, 2, 4, 13, 26, 52, 71, 83, 142, 166, 284, 332, 923, 1079, 1846, 2158, 3692, 4316, 5893, 11786, 23572, 76609, 153218, 306436

Factors of 306444

List of positive integer factors of 306444 that divides 306444 without a remainder.

1, 2, 3, 4, 6, 12, 25537, 51074, 76611, 102148, 153222, 306444

Least Common Multiple of 306436 and 306444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306436 and 306444, than apply into the LCM equation.

GCF(306436,306444) = 4
LCM(306436,306444) = ( 306436 × 306444) / 4
LCM(306436,306444) = 93905473584 / 4
LCM(306436,306444) = 23476368396

Properties of LCM 306436 and 306444

(i) The LCM of 306444 and 306436 is associative

LCM of 306436 and 306444 = LCM of 306444 and 306436

Related Least Common Multiples of 306436

Related Least Common Multiples of 306444

Frequently Asked Questions on LCM of 306436 and 306444

1. What is the LCM of 306436 and 306444?

Answer: LCM of 306436 and 306444 is 23476368396.

2. What are the Factors of 306436?

Answer: Factors of 306436 are 1, 2, 4, 13, 26, 52, 71, 83, 142, 166, 284, 332, 923, 1079, 1846, 2158, 3692, 4316, 5893, 11786, 23572, 76609, 153218, 306436. There are 24 integers that are factors of 306436. The greatest factor of 306436 is 306436.

3. What are the Factors of 306444?

Answer: Factors of 306444 are 1, 2, 3, 4, 6, 12, 25537, 51074, 76611, 102148, 153222, 306444. There are 12 integers that are factors of 306444. The greatest factor of 306444 is 306444.

4. How to Find the LCM of 306436 and 306444?

Answer:

Least Common Multiple of 306436 and 306444 = 23476368396

Step 1: Find the prime factorization of 306436

306436 = 2 x 2 x 13 x 71 x 83

Step 2: Find the prime factorization of 306444

306444 = 2 x 2 x 3 x 25537

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

LCM = 23476368396 = 2 x 2 x 3 x 13 x 71 x 83 x 25537

Step 4: Therefore, the least common multiple of 306436 and 306444 is 23476368396.