Least Common Multiple of 6070 and 6078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6070 and 6078 the smallest integer that is 18446730 that is divisible by both numbers.

Least Common Multiple (LCM) of 6070 and 6078 is 18446730.

LCM(6070,6078) = 18446730

LCM of 6070 and 6078

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

LCM of:
and

Least Common Multiple of 6070 and 6078

LCM of 6070 and 6078 is 18446730

Least common multiple can be found by multiplying the highest exponent prime factors of 6070 and 6078. First we will calculate the prime factors of 6070 and 6078.

Prime Factorization of 6070


2 6070
5 3035
607 607
1

Prime factors of 6070 are 2, 5,607. Prime factorization of 6070 in exponential form is:

6070 = 21×51×6071

Prime Factorization of 6078


2 6078
3 3039
1013 1013
1

Prime factors of 6078 are 2, 3,1013. Prime factorization of 6078 in exponential form is:

6078 = 21×31×10131

Now multiplying the highest exponent prime factors to calculate the LCM of 6070 and 6078.

LCM(6070,6078) = 21×31×51×6071×10131
LCM(6070,6078) = 18446730

Factors of 6070

List of positive integer factors of 6070 that divides 6070 without a remainder.

1, 2, 5, 10, 607, 1214, 3035, 6070

Factors of 6078

List of positive integer factors of 6078 that divides 6078 without a remainder.

1, 2, 3, 6, 1013, 2026, 3039, 6078

Least Common Multiple of 6070 and 6078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6070 and 6078, than apply into the LCM equation.

GCF(6070,6078) = 2
LCM(6070,6078) = ( 6070 × 6078) / 2
LCM(6070,6078) = 36893460 / 2
LCM(6070,6078) = 18446730

Properties of LCM 6070 and 6078

(i) The LCM of 6078 and 6070 is associative

LCM of 6070 and 6078 = LCM of 6078 and 6070

Related Least Common Multiples of 6070

Related Least Common Multiples of 6078

Frequently Asked Questions on LCM of 6070 and 6078

1. What is the LCM of 6070 and 6078?

Answer: LCM of 6070 and 6078 is 18446730.

2. What are the Factors of 6070?

Answer: Factors of 6070 are 1, 2, 5, 10, 607, 1214, 3035, 6070. There are 8 integers that are factors of 6070. The greatest factor of 6070 is 6070.

3. What are the Factors of 6078?

Answer: Factors of 6078 are 1, 2, 3, 6, 1013, 2026, 3039, 6078. There are 8 integers that are factors of 6078. The greatest factor of 6078 is 6078.

4. How to Find the LCM of 6070 and 6078?

Answer:

Least Common Multiple of 6070 and 6078 = 18446730

Step 1: Find the prime factorization of 6070

6070 = 2 x 5 x 607

Step 2: Find the prime factorization of 6078

6078 = 2 x 3 x 1013

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

LCM = 18446730 = 2 x 3 x 5 x 607 x 1013

Step 4: Therefore, the least common multiple of 6070 and 6078 is 18446730.