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What is the Least Common Multiple of 94487 and 94503?

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 94487 and 94503 is 8929304961.

LCM(94487,94503) = 8929304961

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Least Common Multiple of 94487 and 94503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94487 and 94503, than apply into the LCM equation.

GCF(94487,94503) = 1
LCM(94487,94503) = ( 94487 × 94503) / 1
LCM(94487,94503) = 8929304961 / 1
LCM(94487,94503) = 8929304961

Least Common Multiple (LCM) of 94487 and 94503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94487 and 94503. First we will calculate the prime factors of 94487 and 94503.

Prime Factorization of 94487

Prime factors of 94487 are 19, 4973. Prime factorization of 94487 in exponential form is:

94487 = 191 × 49731

Prime Factorization of 94503

Prime factors of 94503 are 3, 17, 109. Prime factorization of 94503 in exponential form is:

94503 = 31 × 172 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 94487 and 94503.

LCM(94487,94503) = 191 × 49731 × 31 × 172 × 1091
LCM(94487,94503) = 8929304961