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What is the Least Common Multiple of 94765 and 94782?

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 94765 and 94782 is 8982016230.

LCM(94765,94782) = 8982016230

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Least Common Multiple of 94765 and 94782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94765 and 94782, than apply into the LCM equation.

GCF(94765,94782) = 1
LCM(94765,94782) = ( 94765 × 94782) / 1
LCM(94765,94782) = 8982016230 / 1
LCM(94765,94782) = 8982016230

Least Common Multiple (LCM) of 94765 and 94782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94765 and 94782. First we will calculate the prime factors of 94765 and 94782.

Prime Factorization of 94765

Prime factors of 94765 are 5, 11, 1723. Prime factorization of 94765 in exponential form is:

94765 = 51 × 111 × 17231

Prime Factorization of 94782

Prime factors of 94782 are 2, 3, 15797. Prime factorization of 94782 in exponential form is:

94782 = 21 × 31 × 157971

Now multiplying the highest exponent prime factors to calculate the LCM of 94765 and 94782.

LCM(94765,94782) = 51 × 111 × 17231 × 21 × 31 × 157971
LCM(94765,94782) = 8982016230