Least Common Multiple of 12416 and 12421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12416 and 12421 the smallest integer that is 154219136 that is divisible by both numbers.

Least Common Multiple (LCM) of 12416 and 12421 is 154219136.

LCM(12416,12421) = 154219136

LCM of 12416 and 12421

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

LCM of:
and

Least Common Multiple of 12416 and 12421

LCM of 12416 and 12421 is 154219136

Least common multiple can be found by multiplying the highest exponent prime factors of 12416 and 12421. First we will calculate the prime factors of 12416 and 12421.

Prime Factorization of 12416


2 12416
2 6208
2 3104
2 1552
2 776
2 388
2 194
97 97
1

Prime factors of 12416 are 2,97. Prime factorization of 12416 in exponential form is:

12416 = 27×971

Prime Factorization of 12421


12421 12421
1

Prime factors of 12421 are 12421. Prime factorization of 12421 in exponential form is:

12421 = 124211

Now multiplying the highest exponent prime factors to calculate the LCM of 12416 and 12421.

LCM(12416,12421) = 27×971×124211
LCM(12416,12421) = 154219136

Factors of 12416

List of positive integer factors of 12416 that divides 12416 without a remainder.

1, 2, 4, 8, 16, 32, 64, 97, 128, 194, 388, 776, 1552, 3104, 6208, 12416

Factors of 12421

List of positive integer factors of 12421 that divides 12421 without a remainder.

1, 12421

Least Common Multiple of 12416 and 12421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12416 and 12421, than apply into the LCM equation.

GCF(12416,12421) = 1
LCM(12416,12421) = ( 12416 × 12421) / 1
LCM(12416,12421) = 154219136 / 1
LCM(12416,12421) = 154219136

Properties of LCM 12416 and 12421

(i) The LCM of 12421 and 12416 is associative

LCM of 12416 and 12421 = LCM of 12421 and 12416

Related Least Common Multiples of 12416

Related Least Common Multiples of 12421

Frequently Asked Questions on LCM of 12416 and 12421

1. What is the LCM of 12416 and 12421?

Answer: LCM of 12416 and 12421 is 154219136.

2. What are the Factors of 12416?

Answer: Factors of 12416 are 1, 2, 4, 8, 16, 32, 64, 97, 128, 194, 388, 776, 1552, 3104, 6208, 12416. There are 16 integers that are factors of 12416. The greatest factor of 12416 is 12416.

3. What are the Factors of 12421?

Answer: Factors of 12421 are 1, 12421. There are 2 integers that are factors of 12421. The greatest factor of 12421 is 12421.

4. How to Find the LCM of 12416 and 12421?

Answer:

Least Common Multiple of 12416 and 12421 = 154219136

Step 1: Find the prime factorization of 12416

12416 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 97

Step 2: Find the prime factorization of 12421

12421 = 12421

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

LCM = 154219136 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 97 x 12421

Step 4: Therefore, the least common multiple of 12416 and 12421 is 154219136.