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What is the Least Common Multiple of 94239 and 94259?

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 94239 and 94259 is 8882873901.

LCM(94239,94259) = 8882873901

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Least Common Multiple of 94239 and 94259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94239 and 94259, than apply into the LCM equation.

GCF(94239,94259) = 1
LCM(94239,94259) = ( 94239 × 94259) / 1
LCM(94239,94259) = 8882873901 / 1
LCM(94239,94259) = 8882873901

Least Common Multiple (LCM) of 94239 and 94259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94239 and 94259. First we will calculate the prime factors of 94239 and 94259.

Prime Factorization of 94239

Prime factors of 94239 are 3, 37, 283. Prime factorization of 94239 in exponential form is:

94239 = 32 × 371 × 2831

Prime Factorization of 94259

Prime factors of 94259 are 11, 19, 41. Prime factorization of 94259 in exponential form is:

94259 = 112 × 191 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 94239 and 94259.

LCM(94239,94259) = 32 × 371 × 2831 × 112 × 191 × 411
LCM(94239,94259) = 8882873901