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What is the Least Common Multiple of 94430 and 94450?

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 94430 and 94450 is 891891350.

LCM(94430,94450) = 891891350

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Least Common Multiple of 94430 and 94450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94430 and 94450, than apply into the LCM equation.

GCF(94430,94450) = 10
LCM(94430,94450) = ( 94430 × 94450) / 10
LCM(94430,94450) = 8918913500 / 10
LCM(94430,94450) = 891891350

Least Common Multiple (LCM) of 94430 and 94450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94430 and 94450. First we will calculate the prime factors of 94430 and 94450.

Prime Factorization of 94430

Prime factors of 94430 are 2, 5, 7, 19, 71. Prime factorization of 94430 in exponential form is:

94430 = 21 × 51 × 71 × 191 × 711

Prime Factorization of 94450

Prime factors of 94450 are 2, 5, 1889. Prime factorization of 94450 in exponential form is:

94450 = 21 × 52 × 18891

Now multiplying the highest exponent prime factors to calculate the LCM of 94430 and 94450.

LCM(94430,94450) = 21 × 52 × 71 × 191 × 711 × 18891
LCM(94430,94450) = 891891350