Least Common Multiple of 3070 and 3076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3070 and 3076 the smallest integer that is 4721660 that is divisible by both numbers.

Least Common Multiple (LCM) of 3070 and 3076 is 4721660.

LCM(3070,3076) = 4721660

LCM of 3070 and 3076

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

LCM of:
and

Least Common Multiple of 3070 and 3076

LCM of 3070 and 3076 is 4721660

Least common multiple can be found by multiplying the highest exponent prime factors of 3070 and 3076. First we will calculate the prime factors of 3070 and 3076.

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

Prime Factorization of 3076


2 3076
2 1538
769 769
1

Prime factors of 3076 are 2,769. Prime factorization of 3076 in exponential form is:

3076 = 22×7691

Now multiplying the highest exponent prime factors to calculate the LCM of 3070 and 3076.

LCM(3070,3076) = 22×51×3071×7691
LCM(3070,3076) = 4721660

Factors of 3070

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

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

Factors of 3076

List of positive integer factors of 3076 that divides 3076 without a remainder.

1, 2, 4, 769, 1538, 3076

Least Common Multiple of 3070 and 3076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3070 and 3076, than apply into the LCM equation.

GCF(3070,3076) = 2
LCM(3070,3076) = ( 3070 × 3076) / 2
LCM(3070,3076) = 9443320 / 2
LCM(3070,3076) = 4721660

Properties of LCM 3070 and 3076

(i) The LCM of 3076 and 3070 is associative

LCM of 3070 and 3076 = LCM of 3076 and 3070

Related Least Common Multiples of 3070

Related Least Common Multiples of 3076

Frequently Asked Questions on LCM of 3070 and 3076

1. What is the LCM of 3070 and 3076?

Answer: LCM of 3070 and 3076 is 4721660.

2. 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.

3. What are the Factors of 3076?

Answer: Factors of 3076 are 1, 2, 4, 769, 1538, 3076. There are 6 integers that are factors of 3076. The greatest factor of 3076 is 3076.

4. How to Find the LCM of 3070 and 3076?

Answer:

Least Common Multiple of 3070 and 3076 = 4721660

Step 1: Find the prime factorization of 3070

3070 = 2 x 5 x 307

Step 2: Find the prime factorization of 3076

3076 = 2 x 2 x 769

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

LCM = 4721660 = 2 x 2 x 5 x 307 x 769

Step 4: Therefore, the least common multiple of 3070 and 3076 is 4721660.