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What is the Least Common Multiple of 2025 and 2041?

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 2025 and 2041 is 4133025.

LCM(2025,2041) = 4133025

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Least Common Multiple of 2025 and 2041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2025 and 2041, than apply into the LCM equation.

GCF(2025,2041) = 1
LCM(2025,2041) = ( 2025 × 2041) / 1
LCM(2025,2041) = 4133025 / 1
LCM(2025,2041) = 4133025

Least Common Multiple (LCM) of 2025 and 2041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2025 and 2041. First we will calculate the prime factors of 2025 and 2041.

Prime Factorization of 2025

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

2025 = 34 × 52

Prime Factorization of 2041

Prime factors of 2041 are 13, 157. Prime factorization of 2041 in exponential form is:

2041 = 131 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 2025 and 2041.

LCM(2025,2041) = 34 × 52 × 131 × 1571
LCM(2025,2041) = 4133025