Least Common Multiple of 3062 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 3062 and 3070 the smallest integer that is 4700170 that is divisible by both numbers.

Least Common Multiple (LCM) of 3062 and 3070 is 4700170.

LCM(3062,3070) = 4700170

LCM of 3062 and 3070

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

LCM of:
and

Least Common Multiple of 3062 and 3070

LCM of 3062 and 3070 is 4700170

Least common multiple can be found by multiplying the highest exponent prime factors of 3062 and 3070. First we will calculate the prime factors of 3062 and 3070.

Prime Factorization of 3062


2 3062
1531 1531
1

Prime factors of 3062 are 2,1531. Prime factorization of 3062 in exponential form is:

3062 = 21×15311

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 3062 and 3070.

LCM(3062,3070) = 21×51×3071×15311
LCM(3062,3070) = 4700170

Factors of 3062

List of positive integer factors of 3062 that divides 3062 without a remainder.

1, 2, 1531, 3062

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 3062 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 3062 and 3070, than apply into the LCM equation.

GCF(3062,3070) = 2
LCM(3062,3070) = ( 3062 × 3070) / 2
LCM(3062,3070) = 9400340 / 2
LCM(3062,3070) = 4700170

Properties of LCM 3062 and 3070

(i) The LCM of 3070 and 3062 is associative

LCM of 3062 and 3070 = LCM of 3070 and 3062

Related Least Common Multiples of 3062

Related Least Common Multiples of 3070

Frequently Asked Questions on LCM of 3062 and 3070

1. What is the LCM of 3062 and 3070?

Answer: LCM of 3062 and 3070 is 4700170.

2. What are the Factors of 3062?

Answer: Factors of 3062 are 1, 2, 1531, 3062. There are 4 integers that are factors of 3062. The greatest factor of 3062 is 3062.

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 3062 and 3070?

Answer:

Least Common Multiple of 3062 and 3070 = 4700170

Step 1: Find the prime factorization of 3062

3062 = 2 x 1531

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 = 4700170 = 2 x 5 x 307 x 1531

Step 4: Therefore, the least common multiple of 3062 and 3070 is 4700170.