Least Common Multiple of 316446 and 316452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 316446 and 316452 the smallest integer that is 16689994932 that is divisible by both numbers.

Least Common Multiple (LCM) of 316446 and 316452 is 16689994932.

LCM(316446,316452) = 16689994932

LCM of 316446 and 316452

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

LCM of:
and

Least Common Multiple of 316446 and 316452

LCM of 316446 and 316452 is 16689994932

Least common multiple can be found by multiplying the highest exponent prime factors of 316446 and 316452. First we will calculate the prime factors of 316446 and 316452.

Prime Factorization of 316446


2 316446
3 158223
13 52741
4057 4057
1

Prime factors of 316446 are 2, 3, 13,4057. Prime factorization of 316446 in exponential form is:

316446 = 21×31×131×40571

Prime Factorization of 316452


2 316452
2 158226
3 79113
26371 26371
1

Prime factors of 316452 are 2, 3,26371. Prime factorization of 316452 in exponential form is:

316452 = 22×31×263711

Now multiplying the highest exponent prime factors to calculate the LCM of 316446 and 316452.

LCM(316446,316452) = 22×31×131×40571×263711
LCM(316446,316452) = 16689994932

Factors of 316446

List of positive integer factors of 316446 that divides 316446 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 4057, 8114, 12171, 24342, 52741, 105482, 158223, 316446

Factors of 316452

List of positive integer factors of 316452 that divides 316452 without a remainder.

1, 2, 3, 4, 6, 12, 26371, 52742, 79113, 105484, 158226, 316452

Least Common Multiple of 316446 and 316452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 316446 and 316452, than apply into the LCM equation.

GCF(316446,316452) = 6
LCM(316446,316452) = ( 316446 × 316452) / 6
LCM(316446,316452) = 100139969592 / 6
LCM(316446,316452) = 16689994932

Properties of LCM 316446 and 316452

(i) The LCM of 316452 and 316446 is associative

LCM of 316446 and 316452 = LCM of 316452 and 316446

Related Least Common Multiples of 316446

Related Least Common Multiples of 316452

Frequently Asked Questions on LCM of 316446 and 316452

1. What is the LCM of 316446 and 316452?

Answer: LCM of 316446 and 316452 is 16689994932.

2. What are the Factors of 316446?

Answer: Factors of 316446 are 1, 2, 3, 6, 13, 26, 39, 78, 4057, 8114, 12171, 24342, 52741, 105482, 158223, 316446. There are 16 integers that are factors of 316446. The greatest factor of 316446 is 316446.

3. What are the Factors of 316452?

Answer: Factors of 316452 are 1, 2, 3, 4, 6, 12, 26371, 52742, 79113, 105484, 158226, 316452. There are 12 integers that are factors of 316452. The greatest factor of 316452 is 316452.

4. How to Find the LCM of 316446 and 316452?

Answer:

Least Common Multiple of 316446 and 316452 = 16689994932

Step 1: Find the prime factorization of 316446

316446 = 2 x 3 x 13 x 4057

Step 2: Find the prime factorization of 316452

316452 = 2 x 2 x 3 x 26371

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

LCM = 16689994932 = 2 x 2 x 3 x 13 x 4057 x 26371

Step 4: Therefore, the least common multiple of 316446 and 316452 is 16689994932.