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What is the Least Common Multiple of 93775 and 93785?

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 93775 and 93785 is 1758937675.

LCM(93775,93785) = 1758937675

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Least Common Multiple of 93775 and 93785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93775 and 93785, than apply into the LCM equation.

GCF(93775,93785) = 5
LCM(93775,93785) = ( 93775 × 93785) / 5
LCM(93775,93785) = 8794688375 / 5
LCM(93775,93785) = 1758937675

Least Common Multiple (LCM) of 93775 and 93785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93775 and 93785. First we will calculate the prime factors of 93775 and 93785.

Prime Factorization of 93775

Prime factors of 93775 are 5, 11, 31. Prime factorization of 93775 in exponential form is:

93775 = 52 × 112 × 311

Prime Factorization of 93785

Prime factors of 93785 are 5, 18757. Prime factorization of 93785 in exponential form is:

93785 = 51 × 187571

Now multiplying the highest exponent prime factors to calculate the LCM of 93775 and 93785.

LCM(93775,93785) = 52 × 112 × 311 × 187571
LCM(93775,93785) = 1758937675