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What is the Least Common Multiple of 94965 and 94978?

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 94965 and 94978 is 693814290.

LCM(94965,94978) = 693814290

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Least Common Multiple of 94965 and 94978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94965 and 94978, than apply into the LCM equation.

GCF(94965,94978) = 13
LCM(94965,94978) = ( 94965 × 94978) / 13
LCM(94965,94978) = 9019585770 / 13
LCM(94965,94978) = 693814290

Least Common Multiple (LCM) of 94965 and 94978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94965 and 94978. First we will calculate the prime factors of 94965 and 94978.

Prime Factorization of 94965

Prime factors of 94965 are 3, 5, 13, 487. Prime factorization of 94965 in exponential form is:

94965 = 31 × 51 × 131 × 4871

Prime Factorization of 94978

Prime factors of 94978 are 2, 13, 281. Prime factorization of 94978 in exponential form is:

94978 = 21 × 132 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 94965 and 94978.

LCM(94965,94978) = 31 × 51 × 132 × 4871 × 21 × 2811
LCM(94965,94978) = 693814290