Least Common Multiple of 321418 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 321418 and 321424 the smallest integer that is 51655729616 that is divisible by both numbers.

Least Common Multiple (LCM) of 321418 and 321424 is 51655729616.

LCM(321418,321424) = 51655729616

LCM of 321418 and 321424

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

LCM of:
and

Least Common Multiple of 321418 and 321424

LCM of 321418 and 321424 is 51655729616

Least common multiple can be found by multiplying the highest exponent prime factors of 321418 and 321424. First we will calculate the prime factors of 321418 and 321424.

Prime Factorization of 321418


2 321418
160709 160709
1

Prime factors of 321418 are 2,160709. Prime factorization of 321418 in exponential form is:

321418 = 21×1607091

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 321418 and 321424.

LCM(321418,321424) = 24×200891×1607091
LCM(321418,321424) = 51655729616

Factors of 321418

List of positive integer factors of 321418 that divides 321418 without a remainder.

1, 2, 160709, 321418

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 321418 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 321418 and 321424, than apply into the LCM equation.

GCF(321418,321424) = 2
LCM(321418,321424) = ( 321418 × 321424) / 2
LCM(321418,321424) = 103311459232 / 2
LCM(321418,321424) = 51655729616

Properties of LCM 321418 and 321424

(i) The LCM of 321424 and 321418 is associative

LCM of 321418 and 321424 = LCM of 321424 and 321418

Related Least Common Multiples of 321418

Related Least Common Multiples of 321424

Frequently Asked Questions on LCM of 321418 and 321424

1. What is the LCM of 321418 and 321424?

Answer: LCM of 321418 and 321424 is 51655729616.

2. What are the Factors of 321418?

Answer: Factors of 321418 are 1, 2, 160709, 321418. There are 4 integers that are factors of 321418. The greatest factor of 321418 is 321418.

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 321418 and 321424?

Answer:

Least Common Multiple of 321418 and 321424 = 51655729616

Step 1: Find the prime factorization of 321418

321418 = 2 x 160709

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 = 51655729616 = 2 x 2 x 2 x 2 x 20089 x 160709

Step 4: Therefore, the least common multiple of 321418 and 321424 is 51655729616.