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What is the Least Common Multiple of 96244 and 96259?

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 96244 and 96259 is 9264351196.

LCM(96244,96259) = 9264351196

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Least Common Multiple of 96244 and 96259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96244 and 96259, than apply into the LCM equation.

GCF(96244,96259) = 1
LCM(96244,96259) = ( 96244 × 96259) / 1
LCM(96244,96259) = 9264351196 / 1
LCM(96244,96259) = 9264351196

Least Common Multiple (LCM) of 96244 and 96259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96244 and 96259. First we will calculate the prime factors of 96244 and 96259.

Prime Factorization of 96244

Prime factors of 96244 are 2, 24061. Prime factorization of 96244 in exponential form is:

96244 = 22 × 240611

Prime Factorization of 96259

Prime factors of 96259 are 96259. Prime factorization of 96259 in exponential form is:

96259 = 962591

Now multiplying the highest exponent prime factors to calculate the LCM of 96244 and 96259.

LCM(96244,96259) = 22 × 240611 × 962591
LCM(96244,96259) = 9264351196