Least Common Multiple of 2026 and 2028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2026 and 2028 the smallest integer that is 2054364 that is divisible by both numbers.

Least Common Multiple (LCM) of 2026 and 2028 is 2054364.

LCM(2026,2028) = 2054364

LCM of 2026 and 2028

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

LCM of:
and

Least Common Multiple of 2026 and 2028

LCM of 2026 and 2028 is 2054364

Least common multiple can be found by multiplying the highest exponent prime factors of 2026 and 2028. First we will calculate the prime factors of 2026 and 2028.

Prime Factorization of 2026


2 2026
1013 1013
1

Prime factors of 2026 are 2,1013. Prime factorization of 2026 in exponential form is:

2026 = 21×10131

Prime Factorization of 2028


2 2028
2 1014
3 507
13 169
13 13
1

Prime factors of 2028 are 2, 3,13. Prime factorization of 2028 in exponential form is:

2028 = 22×31×132

Now multiplying the highest exponent prime factors to calculate the LCM of 2026 and 2028.

LCM(2026,2028) = 22×31×132×10131
LCM(2026,2028) = 2054364

Factors of 2026

List of positive integer factors of 2026 that divides 2026 without a remainder.

1, 2, 1013, 2026

Factors of 2028

List of positive integer factors of 2028 that divides 2028 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028

Least Common Multiple of 2026 and 2028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2026 and 2028, than apply into the LCM equation.

GCF(2026,2028) = 2
LCM(2026,2028) = ( 2026 × 2028) / 2
LCM(2026,2028) = 4108728 / 2
LCM(2026,2028) = 2054364

Properties of LCM 2026 and 2028

(i) The LCM of 2028 and 2026 is associative

LCM of 2026 and 2028 = LCM of 2028 and 2026

Related Least Common Multiples of 2026

Related Least Common Multiples of 2028

Frequently Asked Questions on LCM of 2026 and 2028

1. What is the LCM of 2026 and 2028?

Answer: LCM of 2026 and 2028 is 2054364.

2. What are the Factors of 2026?

Answer: Factors of 2026 are 1, 2, 1013, 2026. There are 4 integers that are factors of 2026. The greatest factor of 2026 is 2026.

3. What are the Factors of 2028?

Answer: Factors of 2028 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028. There are 18 integers that are factors of 2028. The greatest factor of 2028 is 2028.

4. How to Find the LCM of 2026 and 2028?

Answer:

Least Common Multiple of 2026 and 2028 = 2054364

Step 1: Find the prime factorization of 2026

2026 = 2 x 1013

Step 2: Find the prime factorization of 2028

2028 = 2 x 2 x 3 x 13 x 13

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

LCM = 2054364 = 2 x 2 x 3 x 13 x 13 x 1013

Step 4: Therefore, the least common multiple of 2026 and 2028 is 2054364.