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What is the Least Common Multiple of 94786 and 94793?

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 94786 and 94793 is 8985049298.

LCM(94786,94793) = 8985049298

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Least Common Multiple of 94786 and 94793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94786 and 94793, than apply into the LCM equation.

GCF(94786,94793) = 1
LCM(94786,94793) = ( 94786 × 94793) / 1
LCM(94786,94793) = 8985049298 / 1
LCM(94786,94793) = 8985049298

Least Common Multiple (LCM) of 94786 and 94793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94786 and 94793. First we will calculate the prime factors of 94786 and 94793.

Prime Factorization of 94786

Prime factors of 94786 are 2, 83, 571. Prime factorization of 94786 in exponential form is:

94786 = 21 × 831 × 5711

Prime Factorization of 94793

Prime factors of 94793 are 94793. Prime factorization of 94793 in exponential form is:

94793 = 947931

Now multiplying the highest exponent prime factors to calculate the LCM of 94786 and 94793.

LCM(94786,94793) = 21 × 831 × 5711 × 947931
LCM(94786,94793) = 8985049298