Least Common Multiple of 7807 and 7812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7807 and 7812 the smallest integer that is 60988284 that is divisible by both numbers.

Least Common Multiple (LCM) of 7807 and 7812 is 60988284.

LCM(7807,7812) = 60988284

LCM of 7807 and 7812

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

LCM of:
and

Least Common Multiple of 7807 and 7812

LCM of 7807 and 7812 is 60988284

Least common multiple can be found by multiplying the highest exponent prime factors of 7807 and 7812. First we will calculate the prime factors of 7807 and 7812.

Prime Factorization of 7807


37 7807
211 211
1

Prime factors of 7807 are 37,211. Prime factorization of 7807 in exponential form is:

7807 = 371×2111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7807 and 7812.

LCM(7807,7812) = 22×32×71×311×371×2111
LCM(7807,7812) = 60988284

Factors of 7807

List of positive integer factors of 7807 that divides 7807 without a remainder.

1, 37, 211, 7807

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

Least Common Multiple of 7807 and 7812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7807 and 7812, than apply into the LCM equation.

GCF(7807,7812) = 1
LCM(7807,7812) = ( 7807 × 7812) / 1
LCM(7807,7812) = 60988284 / 1
LCM(7807,7812) = 60988284

Properties of LCM 7807 and 7812

(i) The LCM of 7812 and 7807 is associative

LCM of 7807 and 7812 = LCM of 7812 and 7807

Related Least Common Multiples of 7807

Related Least Common Multiples of 7812

Frequently Asked Questions on LCM of 7807 and 7812

1. What is the LCM of 7807 and 7812?

Answer: LCM of 7807 and 7812 is 60988284.

2. What are the Factors of 7807?

Answer: Factors of 7807 are 1, 37, 211, 7807. There are 4 integers that are factors of 7807. The greatest factor of 7807 is 7807.

3. 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.

4. How to Find the LCM of 7807 and 7812?

Answer:

Least Common Multiple of 7807 and 7812 = 60988284

Step 1: Find the prime factorization of 7807

7807 = 37 x 211

Step 2: Find the prime factorization of 7812

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

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

LCM = 60988284 = 2 x 2 x 3 x 3 x 7 x 31 x 37 x 211

Step 4: Therefore, the least common multiple of 7807 and 7812 is 60988284.