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What is the Least Common Multiple of 93009 and 93019?

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 93009 and 93019 is 8651604171.

LCM(93009,93019) = 8651604171

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Least Common Multiple of 93009 and 93019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93009 and 93019, than apply into the LCM equation.

GCF(93009,93019) = 1
LCM(93009,93019) = ( 93009 × 93019) / 1
LCM(93009,93019) = 8651604171 / 1
LCM(93009,93019) = 8651604171

Least Common Multiple (LCM) of 93009 and 93019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93009 and 93019. First we will calculate the prime factors of 93009 and 93019.

Prime Factorization of 93009

Prime factors of 93009 are 3, 7, 43, 103. Prime factorization of 93009 in exponential form is:

93009 = 31 × 71 × 431 × 1031

Prime Factorization of 93019

Prime factors of 93019 are 167, 557. Prime factorization of 93019 in exponential form is:

93019 = 1671 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 93009 and 93019.

LCM(93009,93019) = 31 × 71 × 431 × 1031 × 1671 × 5571
LCM(93009,93019) = 8651604171