Least Common Multiple of 321461 and 321468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 321461 and 321468 the smallest integer that is 14762774964 that is divisible by both numbers.

Least Common Multiple (LCM) of 321461 and 321468 is 14762774964.

LCM(321461,321468) = 14762774964

LCM of 321461 and 321468

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

LCM of:
and

Least Common Multiple of 321461 and 321468

LCM of 321461 and 321468 is 14762774964

Least common multiple can be found by multiplying the highest exponent prime factors of 321461 and 321468. First we will calculate the prime factors of 321461 and 321468.

Prime Factorization of 321461


7 321461
19 45923
2417 2417
1

Prime factors of 321461 are 7, 19,2417. Prime factorization of 321461 in exponential form is:

321461 = 71×191×24171

Prime Factorization of 321468


2 321468
2 160734
3 80367
7 26789
43 3827
89 89
1

Prime factors of 321468 are 2, 3, 7, 43,89. Prime factorization of 321468 in exponential form is:

321468 = 22×31×71×431×891

Now multiplying the highest exponent prime factors to calculate the LCM of 321461 and 321468.

LCM(321461,321468) = 22×31×71×191×431×891×24171
LCM(321461,321468) = 14762774964

Factors of 321461

List of positive integer factors of 321461 that divides 321461 without a remainder.

1, 7, 19, 133, 2417, 16919, 45923, 321461

Factors of 321468

List of positive integer factors of 321468 that divides 321468 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 89, 129, 172, 178, 258, 267, 301, 356, 516, 534, 602, 623, 903, 1068, 1204, 1246, 1806, 1869, 2492, 3612, 3738, 3827, 7476, 7654, 11481, 15308, 22962, 26789, 45924, 53578, 80367, 107156, 160734, 321468

Least Common Multiple of 321461 and 321468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321461 and 321468, than apply into the LCM equation.

GCF(321461,321468) = 7
LCM(321461,321468) = ( 321461 × 321468) / 7
LCM(321461,321468) = 103339424748 / 7
LCM(321461,321468) = 14762774964

Properties of LCM 321461 and 321468

(i) The LCM of 321468 and 321461 is associative

LCM of 321461 and 321468 = LCM of 321468 and 321461

Related Least Common Multiples of 321461

Related Least Common Multiples of 321468

Frequently Asked Questions on LCM of 321461 and 321468

1. What is the LCM of 321461 and 321468?

Answer: LCM of 321461 and 321468 is 14762774964.

2. What are the Factors of 321461?

Answer: Factors of 321461 are 1, 7, 19, 133, 2417, 16919, 45923, 321461. There are 8 integers that are factors of 321461. The greatest factor of 321461 is 321461.

3. What are the Factors of 321468?

Answer: Factors of 321468 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 89, 129, 172, 178, 258, 267, 301, 356, 516, 534, 602, 623, 903, 1068, 1204, 1246, 1806, 1869, 2492, 3612, 3738, 3827, 7476, 7654, 11481, 15308, 22962, 26789, 45924, 53578, 80367, 107156, 160734, 321468. There are 48 integers that are factors of 321468. The greatest factor of 321468 is 321468.

4. How to Find the LCM of 321461 and 321468?

Answer:

Least Common Multiple of 321461 and 321468 = 14762774964

Step 1: Find the prime factorization of 321461

321461 = 7 x 19 x 2417

Step 2: Find the prime factorization of 321468

321468 = 2 x 2 x 3 x 7 x 43 x 89

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

LCM = 14762774964 = 2 x 2 x 3 x 7 x 19 x 43 x 89 x 2417

Step 4: Therefore, the least common multiple of 321461 and 321468 is 14762774964.