Least Common Multiple of 2070 and 2076

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 2076 the smallest integer that is 716220 that is divisible by both numbers.

Least Common Multiple (LCM) of 2070 and 2076 is 716220.

LCM(2070,2076) = 716220

LCM of 2070 and 2076

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

LCM of:
and

Least Common Multiple of 2070 and 2076

LCM of 2070 and 2076 is 716220

Least common multiple can be found by multiplying the highest exponent prime factors of 2070 and 2076. First we will calculate the prime factors of 2070 and 2076.

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 2076


2 2076
2 1038
3 519
173 173
1

Prime factors of 2076 are 2, 3,173. Prime factorization of 2076 in exponential form is:

2076 = 22×31×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 2070 and 2076.

LCM(2070,2076) = 22×32×51×231×1731
LCM(2070,2076) = 716220

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 2076

List of positive integer factors of 2076 that divides 2076 without a remainder.

1, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038, 2076

Least Common Multiple of 2070 and 2076 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 2076, than apply into the LCM equation.

GCF(2070,2076) = 6
LCM(2070,2076) = ( 2070 × 2076) / 6
LCM(2070,2076) = 4297320 / 6
LCM(2070,2076) = 716220

Properties of LCM 2070 and 2076

(i) The LCM of 2076 and 2070 is associative

LCM of 2070 and 2076 = LCM of 2076 and 2070

Related Least Common Multiples of 2070

Related Least Common Multiples of 2076

Frequently Asked Questions on LCM of 2070 and 2076

1. What is the LCM of 2070 and 2076?

Answer: LCM of 2070 and 2076 is 716220.

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 2076?

Answer: Factors of 2076 are 1, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038, 2076. There are 12 integers that are factors of 2076. The greatest factor of 2076 is 2076.

4. How to Find the LCM of 2070 and 2076?

Answer:

Least Common Multiple of 2070 and 2076 = 716220

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 2076

2076 = 2 x 2 x 3 x 173

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

LCM = 716220 = 2 x 2 x 3 x 3 x 5 x 23 x 173

Step 4: Therefore, the least common multiple of 2070 and 2076 is 716220.