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What is the Least Common Multiple of 93780 and 93788?

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 93780 and 93788 is 2198859660.

LCM(93780,93788) = 2198859660

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Least Common Multiple of 93780 and 93788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93780 and 93788, than apply into the LCM equation.

GCF(93780,93788) = 4
LCM(93780,93788) = ( 93780 × 93788) / 4
LCM(93780,93788) = 8795438640 / 4
LCM(93780,93788) = 2198859660

Least Common Multiple (LCM) of 93780 and 93788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93780 and 93788. First we will calculate the prime factors of 93780 and 93788.

Prime Factorization of 93780

Prime factors of 93780 are 2, 3, 5, 521. Prime factorization of 93780 in exponential form is:

93780 = 22 × 32 × 51 × 5211

Prime Factorization of 93788

Prime factors of 93788 are 2, 23447. Prime factorization of 93788 in exponential form is:

93788 = 22 × 234471

Now multiplying the highest exponent prime factors to calculate the LCM of 93780 and 93788.

LCM(93780,93788) = 22 × 32 × 51 × 5211 × 234471
LCM(93780,93788) = 2198859660