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What is the Least Common Multiple of 94007 and 94025?

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 94007 and 94025 is 8839008175.

LCM(94007,94025) = 8839008175

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Least Common Multiple of 94007 and 94025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94007 and 94025, than apply into the LCM equation.

GCF(94007,94025) = 1
LCM(94007,94025) = ( 94007 × 94025) / 1
LCM(94007,94025) = 8839008175 / 1
LCM(94007,94025) = 8839008175

Least Common Multiple (LCM) of 94007 and 94025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94007 and 94025. First we will calculate the prime factors of 94007 and 94025.

Prime Factorization of 94007

Prime factors of 94007 are 94007. Prime factorization of 94007 in exponential form is:

94007 = 940071

Prime Factorization of 94025

Prime factors of 94025 are 5, 3761. Prime factorization of 94025 in exponential form is:

94025 = 52 × 37611

Now multiplying the highest exponent prime factors to calculate the LCM of 94007 and 94025.

LCM(94007,94025) = 940071 × 52 × 37611
LCM(94007,94025) = 8839008175