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What is the Least Common Multiple of 93653 and 93667?

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 93653 and 93667 is 1253170793.

LCM(93653,93667) = 1253170793

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Least Common Multiple of 93653 and 93667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93653 and 93667, than apply into the LCM equation.

GCF(93653,93667) = 7
LCM(93653,93667) = ( 93653 × 93667) / 7
LCM(93653,93667) = 8772195551 / 7
LCM(93653,93667) = 1253170793

Least Common Multiple (LCM) of 93653 and 93667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93653 and 93667. First we will calculate the prime factors of 93653 and 93667.

Prime Factorization of 93653

Prime factors of 93653 are 7, 17, 787. Prime factorization of 93653 in exponential form is:

93653 = 71 × 171 × 7871

Prime Factorization of 93667

Prime factors of 93667 are 7, 13381. Prime factorization of 93667 in exponential form is:

93667 = 71 × 133811

Now multiplying the highest exponent prime factors to calculate the LCM of 93653 and 93667.

LCM(93653,93667) = 71 × 171 × 7871 × 133811
LCM(93653,93667) = 1253170793