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What is the Least Common Multiple of 93239 and 93251?

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 93239 and 93251 is 8694629989.

LCM(93239,93251) = 8694629989

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Least Common Multiple of 93239 and 93251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93239 and 93251, than apply into the LCM equation.

GCF(93239,93251) = 1
LCM(93239,93251) = ( 93239 × 93251) / 1
LCM(93239,93251) = 8694629989 / 1
LCM(93239,93251) = 8694629989

Least Common Multiple (LCM) of 93239 and 93251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93239 and 93251. First we will calculate the prime factors of 93239 and 93251.

Prime Factorization of 93239

Prime factors of 93239 are 93239. Prime factorization of 93239 in exponential form is:

93239 = 932391

Prime Factorization of 93251

Prime factors of 93251 are 93251. Prime factorization of 93251 in exponential form is:

93251 = 932511

Now multiplying the highest exponent prime factors to calculate the LCM of 93239 and 93251.

LCM(93239,93251) = 932391 × 932511
LCM(93239,93251) = 8694629989