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What is the Least Common Multiple of 94245 and 94253?

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 94245 and 94253 is 8882873985.

LCM(94245,94253) = 8882873985

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Least Common Multiple of 94245 and 94253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94245 and 94253, than apply into the LCM equation.

GCF(94245,94253) = 1
LCM(94245,94253) = ( 94245 × 94253) / 1
LCM(94245,94253) = 8882873985 / 1
LCM(94245,94253) = 8882873985

Least Common Multiple (LCM) of 94245 and 94253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94245 and 94253. First we will calculate the prime factors of 94245 and 94253.

Prime Factorization of 94245

Prime factors of 94245 are 3, 5, 61, 103. Prime factorization of 94245 in exponential form is:

94245 = 31 × 51 × 611 × 1031

Prime Factorization of 94253

Prime factors of 94253 are 94253. Prime factorization of 94253 in exponential form is:

94253 = 942531

Now multiplying the highest exponent prime factors to calculate the LCM of 94245 and 94253.

LCM(94245,94253) = 31 × 51 × 611 × 1031 × 942531
LCM(94245,94253) = 8882873985