Least Common Multiple of 316452 and 316458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 316452 and 316458 the smallest integer that is 16690627836 that is divisible by both numbers.

Least Common Multiple (LCM) of 316452 and 316458 is 16690627836.

LCM(316452,316458) = 16690627836

LCM of 316452 and 316458

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

LCM of:
and

Least Common Multiple of 316452 and 316458

LCM of 316452 and 316458 is 16690627836

Least common multiple can be found by multiplying the highest exponent prime factors of 316452 and 316458. First we will calculate the prime factors of 316452 and 316458.

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

Prime Factorization of 316458


2 316458
3 158229
3 52743
17581 17581
1

Prime factors of 316458 are 2, 3,17581. Prime factorization of 316458 in exponential form is:

316458 = 21×32×175811

Now multiplying the highest exponent prime factors to calculate the LCM of 316452 and 316458.

LCM(316452,316458) = 22×32×175811×263711
LCM(316452,316458) = 16690627836

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

Factors of 316458

List of positive integer factors of 316458 that divides 316458 without a remainder.

1, 2, 3, 6, 9, 18, 17581, 35162, 52743, 105486, 158229, 316458

Least Common Multiple of 316452 and 316458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 316452 and 316458, than apply into the LCM equation.

GCF(316452,316458) = 6
LCM(316452,316458) = ( 316452 × 316458) / 6
LCM(316452,316458) = 100143767016 / 6
LCM(316452,316458) = 16690627836

Properties of LCM 316452 and 316458

(i) The LCM of 316458 and 316452 is associative

LCM of 316452 and 316458 = LCM of 316458 and 316452

Related Least Common Multiples of 316452

Related Least Common Multiples of 316458

Frequently Asked Questions on LCM of 316452 and 316458

1. What is the LCM of 316452 and 316458?

Answer: LCM of 316452 and 316458 is 16690627836.

2. 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.

3. What are the Factors of 316458?

Answer: Factors of 316458 are 1, 2, 3, 6, 9, 18, 17581, 35162, 52743, 105486, 158229, 316458. There are 12 integers that are factors of 316458. The greatest factor of 316458 is 316458.

4. How to Find the LCM of 316452 and 316458?

Answer:

Least Common Multiple of 316452 and 316458 = 16690627836

Step 1: Find the prime factorization of 316452

316452 = 2 x 2 x 3 x 26371

Step 2: Find the prime factorization of 316458

316458 = 2 x 3 x 3 x 17581

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

LCM = 16690627836 = 2 x 2 x 3 x 3 x 17581 x 26371

Step 4: Therefore, the least common multiple of 316452 and 316458 is 16690627836.