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What is the Least Common Multiple of 94793 and 94808?

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 94793 and 94808 is 8987134744.

LCM(94793,94808) = 8987134744

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Least Common Multiple of 94793 and 94808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94793 and 94808, than apply into the LCM equation.

GCF(94793,94808) = 1
LCM(94793,94808) = ( 94793 × 94808) / 1
LCM(94793,94808) = 8987134744 / 1
LCM(94793,94808) = 8987134744

Least Common Multiple (LCM) of 94793 and 94808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94793 and 94808. First we will calculate the prime factors of 94793 and 94808.

Prime Factorization of 94793

Prime factors of 94793 are 94793. Prime factorization of 94793 in exponential form is:

94793 = 947931

Prime Factorization of 94808

Prime factors of 94808 are 2, 7, 1693. Prime factorization of 94808 in exponential form is:

94808 = 23 × 71 × 16931

Now multiplying the highest exponent prime factors to calculate the LCM of 94793 and 94808.

LCM(94793,94808) = 947931 × 23 × 71 × 16931
LCM(94793,94808) = 8987134744