Least Common Multiple of 316452 and 316456

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 316456 the smallest integer that is 25035783528 that is divisible by both numbers.

Least Common Multiple (LCM) of 316452 and 316456 is 25035783528.

LCM(316452,316456) = 25035783528

LCM of 316452 and 316456

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

LCM of:
and

Least Common Multiple of 316452 and 316456

LCM of 316452 and 316456 is 25035783528

Least common multiple can be found by multiplying the highest exponent prime factors of 316452 and 316456. First we will calculate the prime factors of 316452 and 316456.

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 316456


2 316456
2 158228
2 79114
7 39557
5651 5651
1

Prime factors of 316456 are 2, 7,5651. Prime factorization of 316456 in exponential form is:

316456 = 23×71×56511

Now multiplying the highest exponent prime factors to calculate the LCM of 316452 and 316456.

LCM(316452,316456) = 23×31×71×56511×263711
LCM(316452,316456) = 25035783528

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 316456

List of positive integer factors of 316456 that divides 316456 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 5651, 11302, 22604, 39557, 45208, 79114, 158228, 316456

Least Common Multiple of 316452 and 316456 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 316456, than apply into the LCM equation.

GCF(316452,316456) = 4
LCM(316452,316456) = ( 316452 × 316456) / 4
LCM(316452,316456) = 100143134112 / 4
LCM(316452,316456) = 25035783528

Properties of LCM 316452 and 316456

(i) The LCM of 316456 and 316452 is associative

LCM of 316452 and 316456 = LCM of 316456 and 316452

Related Least Common Multiples of 316452

Related Least Common Multiples of 316456

Frequently Asked Questions on LCM of 316452 and 316456

1. What is the LCM of 316452 and 316456?

Answer: LCM of 316452 and 316456 is 25035783528.

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 316456?

Answer: Factors of 316456 are 1, 2, 4, 7, 8, 14, 28, 56, 5651, 11302, 22604, 39557, 45208, 79114, 158228, 316456. There are 16 integers that are factors of 316456. The greatest factor of 316456 is 316456.

4. How to Find the LCM of 316452 and 316456?

Answer:

Least Common Multiple of 316452 and 316456 = 25035783528

Step 1: Find the prime factorization of 316452

316452 = 2 x 2 x 3 x 26371

Step 2: Find the prime factorization of 316456

316456 = 2 x 2 x 2 x 7 x 5651

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

LCM = 25035783528 = 2 x 2 x 2 x 3 x 7 x 5651 x 26371

Step 4: Therefore, the least common multiple of 316452 and 316456 is 25035783528.