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What is the Least Common Multiple of 94459 and 94478?

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 94459 and 94478 is 8924297402.

LCM(94459,94478) = 8924297402

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Least Common Multiple of 94459 and 94478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94459 and 94478, than apply into the LCM equation.

GCF(94459,94478) = 1
LCM(94459,94478) = ( 94459 × 94478) / 1
LCM(94459,94478) = 8924297402 / 1
LCM(94459,94478) = 8924297402

Least Common Multiple (LCM) of 94459 and 94478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94459 and 94478. First we will calculate the prime factors of 94459 and 94478.

Prime Factorization of 94459

Prime factors of 94459 are 59, 1601. Prime factorization of 94459 in exponential form is:

94459 = 591 × 16011

Prime Factorization of 94478

Prime factors of 94478 are 2, 97, 487. Prime factorization of 94478 in exponential form is:

94478 = 21 × 971 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 94459 and 94478.

LCM(94459,94478) = 591 × 16011 × 21 × 971 × 4871
LCM(94459,94478) = 8924297402