Least Common Multiple of 6070 and 6075

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 6075 the smallest integer that is 7375050 that is divisible by both numbers.

Least Common Multiple (LCM) of 6070 and 6075 is 7375050.

LCM(6070,6075) = 7375050

LCM of 6070 and 6075

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

LCM of:
and

Least Common Multiple of 6070 and 6075

LCM of 6070 and 6075 is 7375050

Least common multiple can be found by multiplying the highest exponent prime factors of 6070 and 6075. First we will calculate the prime factors of 6070 and 6075.

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 6075


3 6075
3 2025
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 6075 are 3,5. Prime factorization of 6075 in exponential form is:

6075 = 35×52

Now multiplying the highest exponent prime factors to calculate the LCM of 6070 and 6075.

LCM(6070,6075) = 21×35×52×6071
LCM(6070,6075) = 7375050

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 6075

List of positive integer factors of 6075 that divides 6075 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 1215, 2025, 6075

Least Common Multiple of 6070 and 6075 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 6075, than apply into the LCM equation.

GCF(6070,6075) = 5
LCM(6070,6075) = ( 6070 × 6075) / 5
LCM(6070,6075) = 36875250 / 5
LCM(6070,6075) = 7375050

Properties of LCM 6070 and 6075

(i) The LCM of 6075 and 6070 is associative

LCM of 6070 and 6075 = LCM of 6075 and 6070

Related Least Common Multiples of 6070

Related Least Common Multiples of 6075

Frequently Asked Questions on LCM of 6070 and 6075

1. What is the LCM of 6070 and 6075?

Answer: LCM of 6070 and 6075 is 7375050.

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 6075?

Answer: Factors of 6075 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 1215, 2025, 6075. There are 18 integers that are factors of 6075. The greatest factor of 6075 is 6075.

4. How to Find the LCM of 6070 and 6075?

Answer:

Least Common Multiple of 6070 and 6075 = 7375050

Step 1: Find the prime factorization of 6070

6070 = 2 x 5 x 607

Step 2: Find the prime factorization of 6075

6075 = 3 x 3 x 3 x 3 x 3 x 5 x 5

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

LCM = 7375050 = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 607

Step 4: Therefore, the least common multiple of 6070 and 6075 is 7375050.