Least Common Multiple of 2070 and 2078

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 2078 the smallest integer that is 2150730 that is divisible by both numbers.

Least Common Multiple (LCM) of 2070 and 2078 is 2150730.

LCM(2070,2078) = 2150730

LCM of 2070 and 2078

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

LCM of:
and

Least Common Multiple of 2070 and 2078

LCM of 2070 and 2078 is 2150730

Least common multiple can be found by multiplying the highest exponent prime factors of 2070 and 2078. First we will calculate the prime factors of 2070 and 2078.

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 2078


2 2078
1039 1039
1

Prime factors of 2078 are 2,1039. Prime factorization of 2078 in exponential form is:

2078 = 21×10391

Now multiplying the highest exponent prime factors to calculate the LCM of 2070 and 2078.

LCM(2070,2078) = 21×32×51×231×10391
LCM(2070,2078) = 2150730

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 2078

List of positive integer factors of 2078 that divides 2078 without a remainder.

1, 2, 1039, 2078

Least Common Multiple of 2070 and 2078 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 2078, than apply into the LCM equation.

GCF(2070,2078) = 2
LCM(2070,2078) = ( 2070 × 2078) / 2
LCM(2070,2078) = 4301460 / 2
LCM(2070,2078) = 2150730

Properties of LCM 2070 and 2078

(i) The LCM of 2078 and 2070 is associative

LCM of 2070 and 2078 = LCM of 2078 and 2070

Related Least Common Multiples of 2070

Related Least Common Multiples of 2078

Frequently Asked Questions on LCM of 2070 and 2078

1. What is the LCM of 2070 and 2078?

Answer: LCM of 2070 and 2078 is 2150730.

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 2078?

Answer: Factors of 2078 are 1, 2, 1039, 2078. There are 4 integers that are factors of 2078. The greatest factor of 2078 is 2078.

4. How to Find the LCM of 2070 and 2078?

Answer:

Least Common Multiple of 2070 and 2078 = 2150730

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 2078

2078 = 2 x 1039

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

LCM = 2150730 = 2 x 3 x 3 x 5 x 23 x 1039

Step 4: Therefore, the least common multiple of 2070 and 2078 is 2150730.