Least Common Multiple of 8070 and 8076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8070 and 8076 the smallest integer that is 10862220 that is divisible by both numbers.

Least Common Multiple (LCM) of 8070 and 8076 is 10862220.

LCM(8070,8076) = 10862220

LCM of 8070 and 8076

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

LCM of:
and

Least Common Multiple of 8070 and 8076

LCM of 8070 and 8076 is 10862220

Least common multiple can be found by multiplying the highest exponent prime factors of 8070 and 8076. First we will calculate the prime factors of 8070 and 8076.

Prime Factorization of 8070


2 8070
3 4035
5 1345
269 269
1

Prime factors of 8070 are 2, 3, 5,269. Prime factorization of 8070 in exponential form is:

8070 = 21×31×51×2691

Prime Factorization of 8076


2 8076
2 4038
3 2019
673 673
1

Prime factors of 8076 are 2, 3,673. Prime factorization of 8076 in exponential form is:

8076 = 22×31×6731

Now multiplying the highest exponent prime factors to calculate the LCM of 8070 and 8076.

LCM(8070,8076) = 22×31×51×2691×6731
LCM(8070,8076) = 10862220

Factors of 8070

List of positive integer factors of 8070 that divides 8070 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 269, 538, 807, 1345, 1614, 2690, 4035, 8070

Factors of 8076

List of positive integer factors of 8076 that divides 8076 without a remainder.

1, 2, 3, 4, 6, 12, 673, 1346, 2019, 2692, 4038, 8076

Least Common Multiple of 8070 and 8076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8070 and 8076, than apply into the LCM equation.

GCF(8070,8076) = 6
LCM(8070,8076) = ( 8070 × 8076) / 6
LCM(8070,8076) = 65173320 / 6
LCM(8070,8076) = 10862220

Properties of LCM 8070 and 8076

(i) The LCM of 8076 and 8070 is associative

LCM of 8070 and 8076 = LCM of 8076 and 8070

Related Least Common Multiples of 8070

Related Least Common Multiples of 8076

Frequently Asked Questions on LCM of 8070 and 8076

1. What is the LCM of 8070 and 8076?

Answer: LCM of 8070 and 8076 is 10862220.

2. What are the Factors of 8070?

Answer: Factors of 8070 are 1, 2, 3, 5, 6, 10, 15, 30, 269, 538, 807, 1345, 1614, 2690, 4035, 8070. There are 16 integers that are factors of 8070. The greatest factor of 8070 is 8070.

3. What are the Factors of 8076?

Answer: Factors of 8076 are 1, 2, 3, 4, 6, 12, 673, 1346, 2019, 2692, 4038, 8076. There are 12 integers that are factors of 8076. The greatest factor of 8076 is 8076.

4. How to Find the LCM of 8070 and 8076?

Answer:

Least Common Multiple of 8070 and 8076 = 10862220

Step 1: Find the prime factorization of 8070

8070 = 2 x 3 x 5 x 269

Step 2: Find the prime factorization of 8076

8076 = 2 x 2 x 3 x 673

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

LCM = 10862220 = 2 x 2 x 3 x 5 x 269 x 673

Step 4: Therefore, the least common multiple of 8070 and 8076 is 10862220.