Least Common Multiple of 47319 and 47325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47319 and 47325 the smallest integer that is 746457225 that is divisible by both numbers.

Least Common Multiple (LCM) of 47319 and 47325 is 746457225.

LCM(47319,47325) = 746457225

LCM of 47319 and 47325

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

LCM of:
and

Least Common Multiple of 47319 and 47325

LCM of 47319 and 47325 is 746457225

Least common multiple can be found by multiplying the highest exponent prime factors of 47319 and 47325. First we will calculate the prime factors of 47319 and 47325.

Prime Factorization of 47319


3 47319
15773 15773
1

Prime factors of 47319 are 3,15773. Prime factorization of 47319 in exponential form is:

47319 = 31×157731

Prime Factorization of 47325


3 47325
5 15775
5 3155
631 631
1

Prime factors of 47325 are 3, 5,631. Prime factorization of 47325 in exponential form is:

47325 = 31×52×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 47319 and 47325.

LCM(47319,47325) = 31×52×6311×157731
LCM(47319,47325) = 746457225

Factors of 47319

List of positive integer factors of 47319 that divides 47319 without a remainder.

1, 3, 15773, 47319

Factors of 47325

List of positive integer factors of 47325 that divides 47325 without a remainder.

1, 3, 5, 15, 25, 75, 631, 1893, 3155, 9465, 15775, 47325

Least Common Multiple of 47319 and 47325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47319 and 47325, than apply into the LCM equation.

GCF(47319,47325) = 3
LCM(47319,47325) = ( 47319 × 47325) / 3
LCM(47319,47325) = 2239371675 / 3
LCM(47319,47325) = 746457225

Properties of LCM 47319 and 47325

(i) The LCM of 47325 and 47319 is associative

LCM of 47319 and 47325 = LCM of 47325 and 47319

Related Least Common Multiples of 47319

Related Least Common Multiples of 47325

Frequently Asked Questions on LCM of 47319 and 47325

1. What is the LCM of 47319 and 47325?

Answer: LCM of 47319 and 47325 is 746457225.

2. What are the Factors of 47319?

Answer: Factors of 47319 are 1, 3, 15773, 47319. There are 4 integers that are factors of 47319. The greatest factor of 47319 is 47319.

3. What are the Factors of 47325?

Answer: Factors of 47325 are 1, 3, 5, 15, 25, 75, 631, 1893, 3155, 9465, 15775, 47325. There are 12 integers that are factors of 47325. The greatest factor of 47325 is 47325.

4. How to Find the LCM of 47319 and 47325?

Answer:

Least Common Multiple of 47319 and 47325 = 746457225

Step 1: Find the prime factorization of 47319

47319 = 3 x 15773

Step 2: Find the prime factorization of 47325

47325 = 3 x 5 x 5 x 631

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

LCM = 746457225 = 3 x 5 x 5 x 631 x 15773

Step 4: Therefore, the least common multiple of 47319 and 47325 is 746457225.