Least Common Multiple of 7812 and 7818

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 7818 the smallest integer that is 10179036 that is divisible by both numbers.

Least Common Multiple (LCM) of 7812 and 7818 is 10179036.

LCM(7812,7818) = 10179036

LCM of 7812 and 7818

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

LCM of:
and

Least Common Multiple of 7812 and 7818

LCM of 7812 and 7818 is 10179036

Least common multiple can be found by multiplying the highest exponent prime factors of 7812 and 7818. First we will calculate the prime factors of 7812 and 7818.

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 7818


2 7818
3 3909
1303 1303
1

Prime factors of 7818 are 2, 3,1303. Prime factorization of 7818 in exponential form is:

7818 = 21×31×13031

Now multiplying the highest exponent prime factors to calculate the LCM of 7812 and 7818.

LCM(7812,7818) = 22×32×71×311×13031
LCM(7812,7818) = 10179036

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 7818

List of positive integer factors of 7818 that divides 7818 without a remainder.

1, 2, 3, 6, 1303, 2606, 3909, 7818

Least Common Multiple of 7812 and 7818 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 7818, than apply into the LCM equation.

GCF(7812,7818) = 6
LCM(7812,7818) = ( 7812 × 7818) / 6
LCM(7812,7818) = 61074216 / 6
LCM(7812,7818) = 10179036

Properties of LCM 7812 and 7818

(i) The LCM of 7818 and 7812 is associative

LCM of 7812 and 7818 = LCM of 7818 and 7812

Related Least Common Multiples of 7812

Related Least Common Multiples of 7818

Frequently Asked Questions on LCM of 7812 and 7818

1. What is the LCM of 7812 and 7818?

Answer: LCM of 7812 and 7818 is 10179036.

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 7818?

Answer: Factors of 7818 are 1, 2, 3, 6, 1303, 2606, 3909, 7818. There are 8 integers that are factors of 7818. The greatest factor of 7818 is 7818.

4. How to Find the LCM of 7812 and 7818?

Answer:

Least Common Multiple of 7812 and 7818 = 10179036

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 7818

7818 = 2 x 3 x 1303

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

LCM = 10179036 = 2 x 2 x 3 x 3 x 7 x 31 x 1303

Step 4: Therefore, the least common multiple of 7812 and 7818 is 10179036.