Least Common Multiple of 2070 and 2075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2070 and 2075 the smallest integer that is 859050 that is divisible by both numbers.

Least Common Multiple (LCM) of 2070 and 2075 is 859050.

LCM(2070,2075) = 859050

LCM of 2070 and 2075

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

LCM of:
and

Least Common Multiple of 2070 and 2075

LCM of 2070 and 2075 is 859050

Least common multiple can be found by multiplying the highest exponent prime factors of 2070 and 2075. First we will calculate the prime factors of 2070 and 2075.

Prime Factorization of 2070


2 2070
3 1035
3 345
5 115
23 23
1

Prime factors of 2070 are 2, 3, 5,23. Prime factorization of 2070 in exponential form is:

2070 = 21×32×51×231

Prime Factorization of 2075


5 2075
5 415
83 83
1

Prime factors of 2075 are 5,83. Prime factorization of 2075 in exponential form is:

2075 = 52×831

Now multiplying the highest exponent prime factors to calculate the LCM of 2070 and 2075.

LCM(2070,2075) = 21×32×52×231×831
LCM(2070,2075) = 859050

Factors of 2070

List of positive integer factors of 2070 that divides 2070 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 690, 1035, 2070

Factors of 2075

List of positive integer factors of 2075 that divides 2075 without a remainder.

1, 5, 25, 83, 415, 2075

Least Common Multiple of 2070 and 2075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2070 and 2075, than apply into the LCM equation.

GCF(2070,2075) = 5
LCM(2070,2075) = ( 2070 × 2075) / 5
LCM(2070,2075) = 4295250 / 5
LCM(2070,2075) = 859050

Properties of LCM 2070 and 2075

(i) The LCM of 2075 and 2070 is associative

LCM of 2070 and 2075 = LCM of 2075 and 2070

Related Least Common Multiples of 2070

Related Least Common Multiples of 2075

Frequently Asked Questions on LCM of 2070 and 2075

1. What is the LCM of 2070 and 2075?

Answer: LCM of 2070 and 2075 is 859050.

2. What are the Factors of 2070?

Answer: Factors of 2070 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 690, 1035, 2070. There are 24 integers that are factors of 2070. The greatest factor of 2070 is 2070.

3. What are the Factors of 2075?

Answer: Factors of 2075 are 1, 5, 25, 83, 415, 2075. There are 6 integers that are factors of 2075. The greatest factor of 2075 is 2075.

4. How to Find the LCM of 2070 and 2075?

Answer:

Least Common Multiple of 2070 and 2075 = 859050

Step 1: Find the prime factorization of 2070

2070 = 2 x 3 x 3 x 5 x 23

Step 2: Find the prime factorization of 2075

2075 = 5 x 5 x 83

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

LCM = 859050 = 2 x 3 x 3 x 5 x 5 x 23 x 83

Step 4: Therefore, the least common multiple of 2070 and 2075 is 859050.