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What is the Least Common Multiple of 93590 and 93602?

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 93590 and 93602 is 4380105590.

LCM(93590,93602) = 4380105590

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Least Common Multiple of 93590 and 93602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93590 and 93602, than apply into the LCM equation.

GCF(93590,93602) = 2
LCM(93590,93602) = ( 93590 × 93602) / 2
LCM(93590,93602) = 8760211180 / 2
LCM(93590,93602) = 4380105590

Least Common Multiple (LCM) of 93590 and 93602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93590 and 93602. First we will calculate the prime factors of 93590 and 93602.

Prime Factorization of 93590

Prime factors of 93590 are 2, 5, 7, 191. Prime factorization of 93590 in exponential form is:

93590 = 21 × 51 × 72 × 1911

Prime Factorization of 93602

Prime factors of 93602 are 2, 17, 2753. Prime factorization of 93602 in exponential form is:

93602 = 21 × 171 × 27531

Now multiplying the highest exponent prime factors to calculate the LCM of 93590 and 93602.

LCM(93590,93602) = 21 × 51 × 72 × 1911 × 171 × 27531
LCM(93590,93602) = 4380105590