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What is the Least Common Multiple of 93969 and 93985?

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 93969 and 93985 is 8831676465.

LCM(93969,93985) = 8831676465

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Least Common Multiple of 93969 and 93985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93969 and 93985, than apply into the LCM equation.

GCF(93969,93985) = 1
LCM(93969,93985) = ( 93969 × 93985) / 1
LCM(93969,93985) = 8831676465 / 1
LCM(93969,93985) = 8831676465

Least Common Multiple (LCM) of 93969 and 93985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93969 and 93985. First we will calculate the prime factors of 93969 and 93985.

Prime Factorization of 93969

Prime factors of 93969 are 3, 53, 197. Prime factorization of 93969 in exponential form is:

93969 = 32 × 531 × 1971

Prime Factorization of 93985

Prime factors of 93985 are 5, 18797. Prime factorization of 93985 in exponential form is:

93985 = 51 × 187971

Now multiplying the highest exponent prime factors to calculate the LCM of 93969 and 93985.

LCM(93969,93985) = 32 × 531 × 1971 × 51 × 187971
LCM(93969,93985) = 8831676465