Least Common Multiple of 321453 and 321457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 321453 and 321457 the smallest integer that is 103333317021 that is divisible by both numbers.

Least Common Multiple (LCM) of 321453 and 321457 is 103333317021.

LCM(321453,321457) = 103333317021

LCM of 321453 and 321457

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

LCM of:
and

Least Common Multiple of 321453 and 321457

LCM of 321453 and 321457 is 103333317021

Least common multiple can be found by multiplying the highest exponent prime factors of 321453 and 321457. First we will calculate the prime factors of 321453 and 321457.

Prime Factorization of 321453


3 321453
3 107151
11 35717
17 3247
191 191
1

Prime factors of 321453 are 3, 11, 17,191. Prime factorization of 321453 in exponential form is:

321453 = 32×111×171×1911

Prime Factorization of 321457


521 321457
617 617
1

Prime factors of 321457 are 521,617. Prime factorization of 321457 in exponential form is:

321457 = 5211×6171

Now multiplying the highest exponent prime factors to calculate the LCM of 321453 and 321457.

LCM(321453,321457) = 32×111×171×1911×5211×6171
LCM(321453,321457) = 103333317021

Factors of 321453

List of positive integer factors of 321453 that divides 321453 without a remainder.

1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 191, 561, 573, 1683, 1719, 2101, 3247, 6303, 9741, 18909, 29223, 35717, 107151, 321453

Factors of 321457

List of positive integer factors of 321457 that divides 321457 without a remainder.

1, 521, 617, 321457

Least Common Multiple of 321453 and 321457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321453 and 321457, than apply into the LCM equation.

GCF(321453,321457) = 1
LCM(321453,321457) = ( 321453 × 321457) / 1
LCM(321453,321457) = 103333317021 / 1
LCM(321453,321457) = 103333317021

Properties of LCM 321453 and 321457

(i) The LCM of 321457 and 321453 is associative

LCM of 321453 and 321457 = LCM of 321457 and 321453

Related Least Common Multiples of 321453

Related Least Common Multiples of 321457

Frequently Asked Questions on LCM of 321453 and 321457

1. What is the LCM of 321453 and 321457?

Answer: LCM of 321453 and 321457 is 103333317021.

2. What are the Factors of 321453?

Answer: Factors of 321453 are 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 191, 561, 573, 1683, 1719, 2101, 3247, 6303, 9741, 18909, 29223, 35717, 107151, 321453. There are 24 integers that are factors of 321453. The greatest factor of 321453 is 321453.

3. What are the Factors of 321457?

Answer: Factors of 321457 are 1, 521, 617, 321457. There are 4 integers that are factors of 321457. The greatest factor of 321457 is 321457.

4. How to Find the LCM of 321453 and 321457?

Answer:

Least Common Multiple of 321453 and 321457 = 103333317021

Step 1: Find the prime factorization of 321453

321453 = 3 x 3 x 11 x 17 x 191

Step 2: Find the prime factorization of 321457

321457 = 521 x 617

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

LCM = 103333317021 = 3 x 3 x 11 x 17 x 191 x 521 x 617

Step 4: Therefore, the least common multiple of 321453 and 321457 is 103333317021.