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What is the Least Common Multiple of 93042 and 93050?

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 93042 and 93050 is 4328779050.

LCM(93042,93050) = 4328779050

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Least Common Multiple of 93042 and 93050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93042 and 93050, than apply into the LCM equation.

GCF(93042,93050) = 2
LCM(93042,93050) = ( 93042 × 93050) / 2
LCM(93042,93050) = 8657558100 / 2
LCM(93042,93050) = 4328779050

Least Common Multiple (LCM) of 93042 and 93050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93042 and 93050. First we will calculate the prime factors of 93042 and 93050.

Prime Factorization of 93042

Prime factors of 93042 are 2, 3, 1723. Prime factorization of 93042 in exponential form is:

93042 = 21 × 33 × 17231

Prime Factorization of 93050

Prime factors of 93050 are 2, 5, 1861. Prime factorization of 93050 in exponential form is:

93050 = 21 × 52 × 18611

Now multiplying the highest exponent prime factors to calculate the LCM of 93042 and 93050.

LCM(93042,93050) = 21 × 33 × 17231 × 52 × 18611
LCM(93042,93050) = 4328779050