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What is the Least Common Multiple of 94291 and 94295?

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 94291 and 94295 is 8891169845.

LCM(94291,94295) = 8891169845

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Least Common Multiple of 94291 and 94295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94291 and 94295, than apply into the LCM equation.

GCF(94291,94295) = 1
LCM(94291,94295) = ( 94291 × 94295) / 1
LCM(94291,94295) = 8891169845 / 1
LCM(94291,94295) = 8891169845

Least Common Multiple (LCM) of 94291 and 94295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94291 and 94295. First we will calculate the prime factors of 94291 and 94295.

Prime Factorization of 94291

Prime factors of 94291 are 94291. Prime factorization of 94291 in exponential form is:

94291 = 942911

Prime Factorization of 94295

Prime factors of 94295 are 5, 18859. Prime factorization of 94295 in exponential form is:

94295 = 51 × 188591

Now multiplying the highest exponent prime factors to calculate the LCM of 94291 and 94295.

LCM(94291,94295) = 942911 × 51 × 188591
LCM(94291,94295) = 8891169845