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What is the Least Common Multiple of 94045 and 94064?

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 94045 and 94064 is 8846248880.

LCM(94045,94064) = 8846248880

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Least Common Multiple of 94045 and 94064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94045 and 94064, than apply into the LCM equation.

GCF(94045,94064) = 1
LCM(94045,94064) = ( 94045 × 94064) / 1
LCM(94045,94064) = 8846248880 / 1
LCM(94045,94064) = 8846248880

Least Common Multiple (LCM) of 94045 and 94064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94045 and 94064. First we will calculate the prime factors of 94045 and 94064.

Prime Factorization of 94045

Prime factors of 94045 are 5, 7, 2687. Prime factorization of 94045 in exponential form is:

94045 = 51 × 71 × 26871

Prime Factorization of 94064

Prime factors of 94064 are 2, 5879. Prime factorization of 94064 in exponential form is:

94064 = 24 × 58791

Now multiplying the highest exponent prime factors to calculate the LCM of 94045 and 94064.

LCM(94045,94064) = 51 × 71 × 26871 × 24 × 58791
LCM(94045,94064) = 8846248880