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What is the Least Common Multiple of 93966 and 93978?

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 93966 and 93978 is 1471789458.

LCM(93966,93978) = 1471789458

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Least Common Multiple of 93966 and 93978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93966 and 93978, than apply into the LCM equation.

GCF(93966,93978) = 6
LCM(93966,93978) = ( 93966 × 93978) / 6
LCM(93966,93978) = 8830736748 / 6
LCM(93966,93978) = 1471789458

Least Common Multiple (LCM) of 93966 and 93978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93966 and 93978. First we will calculate the prime factors of 93966 and 93978.

Prime Factorization of 93966

Prime factors of 93966 are 2, 3, 15661. Prime factorization of 93966 in exponential form is:

93966 = 21 × 31 × 156611

Prime Factorization of 93978

Prime factors of 93978 are 2, 3, 23, 227. Prime factorization of 93978 in exponential form is:

93978 = 21 × 32 × 231 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 93966 and 93978.

LCM(93966,93978) = 21 × 32 × 156611 × 231 × 2271
LCM(93966,93978) = 1471789458