Least Common Multiple of 321420 and 321427

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 321427 the smallest integer that is 103313066340 that is divisible by both numbers.

Least Common Multiple (LCM) of 321420 and 321427 is 103313066340.

LCM(321420,321427) = 103313066340

LCM of 321420 and 321427

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

LCM of:
and

Least Common Multiple of 321420 and 321427

LCM of 321420 and 321427 is 103313066340

Least common multiple can be found by multiplying the highest exponent prime factors of 321420 and 321427. First we will calculate the prime factors of 321420 and 321427.

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 321427


321427 321427
1

Prime factors of 321427 are 321427. Prime factorization of 321427 in exponential form is:

321427 = 3214271

Now multiplying the highest exponent prime factors to calculate the LCM of 321420 and 321427.

LCM(321420,321427) = 22×31×51×111×4871×3214271
LCM(321420,321427) = 103313066340

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 321427

List of positive integer factors of 321427 that divides 321427 without a remainder.

1, 321427

Least Common Multiple of 321420 and 321427 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 321427, than apply into the LCM equation.

GCF(321420,321427) = 1
LCM(321420,321427) = ( 321420 × 321427) / 1
LCM(321420,321427) = 103313066340 / 1
LCM(321420,321427) = 103313066340

Properties of LCM 321420 and 321427

(i) The LCM of 321427 and 321420 is associative

LCM of 321420 and 321427 = LCM of 321427 and 321420

Related Least Common Multiples of 321420

Related Least Common Multiples of 321427

Frequently Asked Questions on LCM of 321420 and 321427

1. What is the LCM of 321420 and 321427?

Answer: LCM of 321420 and 321427 is 103313066340.

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 321427?

Answer: Factors of 321427 are 1, 321427. There are 2 integers that are factors of 321427. The greatest factor of 321427 is 321427.

4. How to Find the LCM of 321420 and 321427?

Answer:

Least Common Multiple of 321420 and 321427 = 103313066340

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 321427

321427 = 321427

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

LCM = 103313066340 = 2 x 2 x 3 x 5 x 11 x 487 x 321427

Step 4: Therefore, the least common multiple of 321420 and 321427 is 103313066340.