Least Common Multiple of 321420 and 321424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 321420 and 321424 the smallest integer that is 25828025520 that is divisible by both numbers.

Least Common Multiple (LCM) of 321420 and 321424 is 25828025520.

LCM(321420,321424) = 25828025520

LCM of 321420 and 321424

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

LCM of:
and

Least Common Multiple of 321420 and 321424

LCM of 321420 and 321424 is 25828025520

Least common multiple can be found by multiplying the highest exponent prime factors of 321420 and 321424. First we will calculate the prime factors of 321420 and 321424.

Prime Factorization of 321420


2 321420
2 160710
3 80355
5 26785
11 5357
487 487
1

Prime factors of 321420 are 2, 3, 5, 11,487. Prime factorization of 321420 in exponential form is:

321420 = 22×31×51×111×4871

Prime Factorization of 321424


2 321424
2 160712
2 80356
2 40178
20089 20089
1

Prime factors of 321424 are 2,20089. Prime factorization of 321424 in exponential form is:

321424 = 24×200891

Now multiplying the highest exponent prime factors to calculate the LCM of 321420 and 321424.

LCM(321420,321424) = 24×31×51×111×4871×200891
LCM(321420,321424) = 25828025520

Factors of 321420

List of positive integer factors of 321420 that divides 321420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 487, 660, 974, 1461, 1948, 2435, 2922, 4870, 5357, 5844, 7305, 9740, 10714, 14610, 16071, 21428, 26785, 29220, 32142, 53570, 64284, 80355, 107140, 160710, 321420

Factors of 321424

List of positive integer factors of 321424 that divides 321424 without a remainder.

1, 2, 4, 8, 16, 20089, 40178, 80356, 160712, 321424

Least Common Multiple of 321420 and 321424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321420 and 321424, than apply into the LCM equation.

GCF(321420,321424) = 4
LCM(321420,321424) = ( 321420 × 321424) / 4
LCM(321420,321424) = 103312102080 / 4
LCM(321420,321424) = 25828025520

Properties of LCM 321420 and 321424

(i) The LCM of 321424 and 321420 is associative

LCM of 321420 and 321424 = LCM of 321424 and 321420

Related Least Common Multiples of 321420

Related Least Common Multiples of 321424

Frequently Asked Questions on LCM of 321420 and 321424

1. What is the LCM of 321420 and 321424?

Answer: LCM of 321420 and 321424 is 25828025520.

2. What are the Factors of 321420?

Answer: Factors of 321420 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 487, 660, 974, 1461, 1948, 2435, 2922, 4870, 5357, 5844, 7305, 9740, 10714, 14610, 16071, 21428, 26785, 29220, 32142, 53570, 64284, 80355, 107140, 160710, 321420. There are 48 integers that are factors of 321420. The greatest factor of 321420 is 321420.

3. What are the Factors of 321424?

Answer: Factors of 321424 are 1, 2, 4, 8, 16, 20089, 40178, 80356, 160712, 321424. There are 10 integers that are factors of 321424. The greatest factor of 321424 is 321424.

4. How to Find the LCM of 321420 and 321424?

Answer:

Least Common Multiple of 321420 and 321424 = 25828025520

Step 1: Find the prime factorization of 321420

321420 = 2 x 2 x 3 x 5 x 11 x 487

Step 2: Find the prime factorization of 321424

321424 = 2 x 2 x 2 x 2 x 20089

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

LCM = 25828025520 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 487 x 20089

Step 4: Therefore, the least common multiple of 321420 and 321424 is 25828025520.