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What is the Least Common Multiple of 92021 and 92025?

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 92021 and 92025 is 8468232525.

LCM(92021,92025) = 8468232525

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Least Common Multiple of 92021 and 92025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92021 and 92025, than apply into the LCM equation.

GCF(92021,92025) = 1
LCM(92021,92025) = ( 92021 × 92025) / 1
LCM(92021,92025) = 8468232525 / 1
LCM(92021,92025) = 8468232525

Least Common Multiple (LCM) of 92021 and 92025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92021 and 92025. First we will calculate the prime factors of 92021 and 92025.

Prime Factorization of 92021

Prime factors of 92021 are 17, 5413. Prime factorization of 92021 in exponential form is:

92021 = 171 × 54131

Prime Factorization of 92025

Prime factors of 92025 are 3, 5, 409. Prime factorization of 92025 in exponential form is:

92025 = 32 × 52 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 92021 and 92025.

LCM(92021,92025) = 171 × 54131 × 32 × 52 × 4091
LCM(92021,92025) = 8468232525