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What is the Least Common Multiple of 94434 and 94446?

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 94434 and 94446 is 1486485594.

LCM(94434,94446) = 1486485594

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Least Common Multiple of 94434 and 94446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94434 and 94446, than apply into the LCM equation.

GCF(94434,94446) = 6
LCM(94434,94446) = ( 94434 × 94446) / 6
LCM(94434,94446) = 8918913564 / 6
LCM(94434,94446) = 1486485594

Least Common Multiple (LCM) of 94434 and 94446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94434 and 94446. First we will calculate the prime factors of 94434 and 94446.

Prime Factorization of 94434

Prime factors of 94434 are 2, 3, 15739. Prime factorization of 94434 in exponential form is:

94434 = 21 × 31 × 157391

Prime Factorization of 94446

Prime factors of 94446 are 2, 3, 11, 53. Prime factorization of 94446 in exponential form is:

94446 = 21 × 34 × 111 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 94434 and 94446.

LCM(94434,94446) = 21 × 34 × 157391 × 111 × 531
LCM(94434,94446) = 1486485594