Least Common Multiple of 2027 and 2034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2027 and 2034 the smallest integer that is 4122918 that is divisible by both numbers.

Least Common Multiple (LCM) of 2027 and 2034 is 4122918.

LCM(2027,2034) = 4122918

LCM of 2027 and 2034

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

LCM of:
and

Least Common Multiple of 2027 and 2034

LCM of 2027 and 2034 is 4122918

Least common multiple can be found by multiplying the highest exponent prime factors of 2027 and 2034. First we will calculate the prime factors of 2027 and 2034.

Prime Factorization of 2027


2027 2027
1

Prime factors of 2027 are 2027. Prime factorization of 2027 in exponential form is:

2027 = 20271

Prime Factorization of 2034


2 2034
3 1017
3 339
113 113
1

Prime factors of 2034 are 2, 3,113. Prime factorization of 2034 in exponential form is:

2034 = 21×32×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 2027 and 2034.

LCM(2027,2034) = 21×32×1131×20271
LCM(2027,2034) = 4122918

Factors of 2027

List of positive integer factors of 2027 that divides 2027 without a remainder.

1, 2027

Factors of 2034

List of positive integer factors of 2034 that divides 2034 without a remainder.

1, 2, 3, 6, 9, 18, 113, 226, 339, 678, 1017, 2034

Least Common Multiple of 2027 and 2034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2027 and 2034, than apply into the LCM equation.

GCF(2027,2034) = 1
LCM(2027,2034) = ( 2027 × 2034) / 1
LCM(2027,2034) = 4122918 / 1
LCM(2027,2034) = 4122918

Properties of LCM 2027 and 2034

(i) The LCM of 2034 and 2027 is associative

LCM of 2027 and 2034 = LCM of 2034 and 2027

Related Least Common Multiples of 2027

Related Least Common Multiples of 2034

Frequently Asked Questions on LCM of 2027 and 2034

1. What is the LCM of 2027 and 2034?

Answer: LCM of 2027 and 2034 is 4122918.

2. What are the Factors of 2027?

Answer: Factors of 2027 are 1, 2027. There are 2 integers that are factors of 2027. The greatest factor of 2027 is 2027.

3. What are the Factors of 2034?

Answer: Factors of 2034 are 1, 2, 3, 6, 9, 18, 113, 226, 339, 678, 1017, 2034. There are 12 integers that are factors of 2034. The greatest factor of 2034 is 2034.

4. How to Find the LCM of 2027 and 2034?

Answer:

Least Common Multiple of 2027 and 2034 = 4122918

Step 1: Find the prime factorization of 2027

2027 = 2027

Step 2: Find the prime factorization of 2034

2034 = 2 x 3 x 3 x 113

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

LCM = 4122918 = 2 x 3 x 3 x 113 x 2027

Step 4: Therefore, the least common multiple of 2027 and 2034 is 4122918.