Least Common Multiple of 321420 and 321425

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 321425 the smallest integer that is 20662484700 that is divisible by both numbers.

Least Common Multiple (LCM) of 321420 and 321425 is 20662484700.

LCM(321420,321425) = 20662484700

LCM of 321420 and 321425

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

LCM of:
and

Least Common Multiple of 321420 and 321425

LCM of 321420 and 321425 is 20662484700

Least common multiple can be found by multiplying the highest exponent prime factors of 321420 and 321425. First we will calculate the prime factors of 321420 and 321425.

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 321425


5 321425
5 64285
13 12857
23 989
43 43
1

Prime factors of 321425 are 5, 13, 23,43. Prime factorization of 321425 in exponential form is:

321425 = 52×131×231×431

Now multiplying the highest exponent prime factors to calculate the LCM of 321420 and 321425.

LCM(321420,321425) = 22×31×52×111×131×231×431×4871
LCM(321420,321425) = 20662484700

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 321425

List of positive integer factors of 321425 that divides 321425 without a remainder.

1, 5, 13, 23, 25, 43, 65, 115, 215, 299, 325, 559, 575, 989, 1075, 1495, 2795, 4945, 7475, 12857, 13975, 24725, 64285, 321425

Least Common Multiple of 321420 and 321425 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 321425, than apply into the LCM equation.

GCF(321420,321425) = 5
LCM(321420,321425) = ( 321420 × 321425) / 5
LCM(321420,321425) = 103312423500 / 5
LCM(321420,321425) = 20662484700

Properties of LCM 321420 and 321425

(i) The LCM of 321425 and 321420 is associative

LCM of 321420 and 321425 = LCM of 321425 and 321420

Related Least Common Multiples of 321420

Related Least Common Multiples of 321425

Frequently Asked Questions on LCM of 321420 and 321425

1. What is the LCM of 321420 and 321425?

Answer: LCM of 321420 and 321425 is 20662484700.

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 321425?

Answer: Factors of 321425 are 1, 5, 13, 23, 25, 43, 65, 115, 215, 299, 325, 559, 575, 989, 1075, 1495, 2795, 4945, 7475, 12857, 13975, 24725, 64285, 321425. There are 24 integers that are factors of 321425. The greatest factor of 321425 is 321425.

4. How to Find the LCM of 321420 and 321425?

Answer:

Least Common Multiple of 321420 and 321425 = 20662484700

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 321425

321425 = 5 x 5 x 13 x 23 x 43

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

LCM = 20662484700 = 2 x 2 x 3 x 5 x 5 x 11 x 13 x 23 x 43 x 487

Step 4: Therefore, the least common multiple of 321420 and 321425 is 20662484700.