Least Common Multiple of 2066 and 2070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2066 and 2070 the smallest integer that is 2138310 that is divisible by both numbers.

Least Common Multiple (LCM) of 2066 and 2070 is 2138310.

LCM(2066,2070) = 2138310

LCM of 2066 and 2070

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

LCM of:
and

Least Common Multiple of 2066 and 2070

LCM of 2066 and 2070 is 2138310

Least common multiple can be found by multiplying the highest exponent prime factors of 2066 and 2070. First we will calculate the prime factors of 2066 and 2070.

Prime Factorization of 2066


2 2066
1033 1033
1

Prime factors of 2066 are 2,1033. Prime factorization of 2066 in exponential form is:

2066 = 21×10331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2066 and 2070.

LCM(2066,2070) = 21×32×51×231×10331
LCM(2066,2070) = 2138310

Factors of 2066

List of positive integer factors of 2066 that divides 2066 without a remainder.

1, 2, 1033, 2066

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

Least Common Multiple of 2066 and 2070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2066 and 2070, than apply into the LCM equation.

GCF(2066,2070) = 2
LCM(2066,2070) = ( 2066 × 2070) / 2
LCM(2066,2070) = 4276620 / 2
LCM(2066,2070) = 2138310

Properties of LCM 2066 and 2070

(i) The LCM of 2070 and 2066 is associative

LCM of 2066 and 2070 = LCM of 2070 and 2066

Related Least Common Multiples of 2066

Related Least Common Multiples of 2070

Frequently Asked Questions on LCM of 2066 and 2070

1. What is the LCM of 2066 and 2070?

Answer: LCM of 2066 and 2070 is 2138310.

2. What are the Factors of 2066?

Answer: Factors of 2066 are 1, 2, 1033, 2066. There are 4 integers that are factors of 2066. The greatest factor of 2066 is 2066.

3. 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.

4. How to Find the LCM of 2066 and 2070?

Answer:

Least Common Multiple of 2066 and 2070 = 2138310

Step 1: Find the prime factorization of 2066

2066 = 2 x 1033

Step 2: Find the prime factorization of 2070

2070 = 2 x 3 x 3 x 5 x 23

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

LCM = 2138310 = 2 x 3 x 3 x 5 x 23 x 1033

Step 4: Therefore, the least common multiple of 2066 and 2070 is 2138310.