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What is the Least Common Multiple of 94545 and 94563?

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 94545 and 94563 is 993384315.

LCM(94545,94563) = 993384315

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Least Common Multiple of 94545 and 94563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94545 and 94563, than apply into the LCM equation.

GCF(94545,94563) = 9
LCM(94545,94563) = ( 94545 × 94563) / 9
LCM(94545,94563) = 8940458835 / 9
LCM(94545,94563) = 993384315

Least Common Multiple (LCM) of 94545 and 94563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94545 and 94563. First we will calculate the prime factors of 94545 and 94563.

Prime Factorization of 94545

Prime factors of 94545 are 3, 5, 11, 191. Prime factorization of 94545 in exponential form is:

94545 = 32 × 51 × 111 × 1911

Prime Factorization of 94563

Prime factors of 94563 are 3, 7, 19, 79. Prime factorization of 94563 in exponential form is:

94563 = 32 × 71 × 191 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 94545 and 94563.

LCM(94545,94563) = 32 × 51 × 111 × 1911 × 71 × 191 × 791
LCM(94545,94563) = 993384315