Least Common Multiple of 3069 and 3070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3069 and 3070 the smallest integer that is 9421830 that is divisible by both numbers.

Least Common Multiple (LCM) of 3069 and 3070 is 9421830.

LCM(3069,3070) = 9421830

LCM of 3069 and 3070

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

LCM of:
and

Least Common Multiple of 3069 and 3070

LCM of 3069 and 3070 is 9421830

Least common multiple can be found by multiplying the highest exponent prime factors of 3069 and 3070. First we will calculate the prime factors of 3069 and 3070.

Prime Factorization of 3069


3 3069
3 1023
11 341
31 31
1

Prime factors of 3069 are 3, 11,31. Prime factorization of 3069 in exponential form is:

3069 = 32×111×311

Prime Factorization of 3070


2 3070
5 1535
307 307
1

Prime factors of 3070 are 2, 5,307. Prime factorization of 3070 in exponential form is:

3070 = 21×51×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 3069 and 3070.

LCM(3069,3070) = 21×32×51×111×311×3071
LCM(3069,3070) = 9421830

Factors of 3069

List of positive integer factors of 3069 that divides 3069 without a remainder.

1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 1023, 3069

Factors of 3070

List of positive integer factors of 3070 that divides 3070 without a remainder.

1, 2, 5, 10, 307, 614, 1535, 3070

Least Common Multiple of 3069 and 3070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3069 and 3070, than apply into the LCM equation.

GCF(3069,3070) = 1
LCM(3069,3070) = ( 3069 × 3070) / 1
LCM(3069,3070) = 9421830 / 1
LCM(3069,3070) = 9421830

Properties of LCM 3069 and 3070

(i) The LCM of 3070 and 3069 is associative

LCM of 3069 and 3070 = LCM of 3070 and 3069

Related Least Common Multiples of 3069

Related Least Common Multiples of 3070

Frequently Asked Questions on LCM of 3069 and 3070

1. What is the LCM of 3069 and 3070?

Answer: LCM of 3069 and 3070 is 9421830.

2. What are the Factors of 3069?

Answer: Factors of 3069 are 1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 1023, 3069. There are 12 integers that are factors of 3069. The greatest factor of 3069 is 3069.

3. What are the Factors of 3070?

Answer: Factors of 3070 are 1, 2, 5, 10, 307, 614, 1535, 3070. There are 8 integers that are factors of 3070. The greatest factor of 3070 is 3070.

4. How to Find the LCM of 3069 and 3070?

Answer:

Least Common Multiple of 3069 and 3070 = 9421830

Step 1: Find the prime factorization of 3069

3069 = 3 x 3 x 11 x 31

Step 2: Find the prime factorization of 3070

3070 = 2 x 5 x 307

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

LCM = 9421830 = 2 x 3 x 3 x 5 x 11 x 31 x 307

Step 4: Therefore, the least common multiple of 3069 and 3070 is 9421830.