Least Common Multiple of 7812 and 7816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7812 and 7816 the smallest integer that is 15264648 that is divisible by both numbers.

Least Common Multiple (LCM) of 7812 and 7816 is 15264648.

LCM(7812,7816) = 15264648

LCM of 7812 and 7816

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

LCM of:
and

Least Common Multiple of 7812 and 7816

LCM of 7812 and 7816 is 15264648

Least common multiple can be found by multiplying the highest exponent prime factors of 7812 and 7816. First we will calculate the prime factors of 7812 and 7816.

Prime Factorization of 7812


2 7812
2 3906
3 1953
3 651
7 217
31 31
1

Prime factors of 7812 are 2, 3, 7,31. Prime factorization of 7812 in exponential form is:

7812 = 22×32×71×311

Prime Factorization of 7816


2 7816
2 3908
2 1954
977 977
1

Prime factors of 7816 are 2,977. Prime factorization of 7816 in exponential form is:

7816 = 23×9771

Now multiplying the highest exponent prime factors to calculate the LCM of 7812 and 7816.

LCM(7812,7816) = 23×32×71×311×9771
LCM(7812,7816) = 15264648

Factors of 7812

List of positive integer factors of 7812 that divides 7812 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 31, 36, 42, 62, 63, 84, 93, 124, 126, 186, 217, 252, 279, 372, 434, 558, 651, 868, 1116, 1302, 1953, 2604, 3906, 7812

Factors of 7816

List of positive integer factors of 7816 that divides 7816 without a remainder.

1, 2, 4, 8, 977, 1954, 3908, 7816

Least Common Multiple of 7812 and 7816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7812 and 7816, than apply into the LCM equation.

GCF(7812,7816) = 4
LCM(7812,7816) = ( 7812 × 7816) / 4
LCM(7812,7816) = 61058592 / 4
LCM(7812,7816) = 15264648

Properties of LCM 7812 and 7816

(i) The LCM of 7816 and 7812 is associative

LCM of 7812 and 7816 = LCM of 7816 and 7812

Related Least Common Multiples of 7812

Related Least Common Multiples of 7816

Frequently Asked Questions on LCM of 7812 and 7816

1. What is the LCM of 7812 and 7816?

Answer: LCM of 7812 and 7816 is 15264648.

2. What are the Factors of 7812?

Answer: Factors of 7812 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 31, 36, 42, 62, 63, 84, 93, 124, 126, 186, 217, 252, 279, 372, 434, 558, 651, 868, 1116, 1302, 1953, 2604, 3906, 7812. There are 36 integers that are factors of 7812. The greatest factor of 7812 is 7812.

3. What are the Factors of 7816?

Answer: Factors of 7816 are 1, 2, 4, 8, 977, 1954, 3908, 7816. There are 8 integers that are factors of 7816. The greatest factor of 7816 is 7816.

4. How to Find the LCM of 7812 and 7816?

Answer:

Least Common Multiple of 7812 and 7816 = 15264648

Step 1: Find the prime factorization of 7812

7812 = 2 x 2 x 3 x 3 x 7 x 31

Step 2: Find the prime factorization of 7816

7816 = 2 x 2 x 2 x 977

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

LCM = 15264648 = 2 x 2 x 2 x 3 x 3 x 7 x 31 x 977

Step 4: Therefore, the least common multiple of 7812 and 7816 is 15264648.