Least Common Multiple of 8070 and 8074

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 8074 the smallest integer that is 32578590 that is divisible by both numbers.

Least Common Multiple (LCM) of 8070 and 8074 is 32578590.

LCM(8070,8074) = 32578590

LCM of 8070 and 8074

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

LCM of:
and

Least Common Multiple of 8070 and 8074

LCM of 8070 and 8074 is 32578590

Least common multiple can be found by multiplying the highest exponent prime factors of 8070 and 8074. First we will calculate the prime factors of 8070 and 8074.

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 8074


2 8074
11 4037
367 367
1

Prime factors of 8074 are 2, 11,367. Prime factorization of 8074 in exponential form is:

8074 = 21×111×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 8070 and 8074.

LCM(8070,8074) = 21×31×51×111×2691×3671
LCM(8070,8074) = 32578590

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 8074

List of positive integer factors of 8074 that divides 8074 without a remainder.

1, 2, 11, 22, 367, 734, 4037, 8074

Least Common Multiple of 8070 and 8074 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 8074, than apply into the LCM equation.

GCF(8070,8074) = 2
LCM(8070,8074) = ( 8070 × 8074) / 2
LCM(8070,8074) = 65157180 / 2
LCM(8070,8074) = 32578590

Properties of LCM 8070 and 8074

(i) The LCM of 8074 and 8070 is associative

LCM of 8070 and 8074 = LCM of 8074 and 8070

Related Least Common Multiples of 8070

Related Least Common Multiples of 8074

Frequently Asked Questions on LCM of 8070 and 8074

1. What is the LCM of 8070 and 8074?

Answer: LCM of 8070 and 8074 is 32578590.

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 8074?

Answer: Factors of 8074 are 1, 2, 11, 22, 367, 734, 4037, 8074. There are 8 integers that are factors of 8074. The greatest factor of 8074 is 8074.

4. How to Find the LCM of 8070 and 8074?

Answer:

Least Common Multiple of 8070 and 8074 = 32578590

Step 1: Find the prime factorization of 8070

8070 = 2 x 3 x 5 x 269

Step 2: Find the prime factorization of 8074

8074 = 2 x 11 x 367

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

LCM = 32578590 = 2 x 3 x 5 x 11 x 269 x 367

Step 4: Therefore, the least common multiple of 8070 and 8074 is 32578590.