GCF and LCM Calculator Logo

What is the Least Common Multiple of 2021 and 2025?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 2021 and 2025 is 4092525.

LCM(2021,2025) = 4092525

LCM Calculator and
and

Least Common Multiple of 2021 and 2025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2021 and 2025, than apply into the LCM equation.

GCF(2021,2025) = 1
LCM(2021,2025) = ( 2021 × 2025) / 1
LCM(2021,2025) = 4092525 / 1
LCM(2021,2025) = 4092525

Least Common Multiple (LCM) of 2021 and 2025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2021 and 2025. First we will calculate the prime factors of 2021 and 2025.

Prime Factorization of 2021

Prime factors of 2021 are 43, 47. Prime factorization of 2021 in exponential form is:

2021 = 431 × 471

Prime Factorization of 2025

Prime factors of 2025 are 3, 5. Prime factorization of 2025 in exponential form is:

2025 = 34 × 52

Now multiplying the highest exponent prime factors to calculate the LCM of 2021 and 2025.

LCM(2021,2025) = 431 × 471 × 34 × 52
LCM(2021,2025) = 4092525