What is the Least Common Multiple of 94885 and 94901?
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 94885 and 94901 is 9004681385.
LCM(94885,94901) = 9004681385
Least Common Multiple of 94885 and 94901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94885 and 94901, than apply into the LCM equation.
GCF(94885,94901) = 1
LCM(94885,94901) = ( 94885 × 94901) / 1
LCM(94885,94901) = 9004681385 / 1
LCM(94885,94901) = 9004681385
Least Common Multiple (LCM) of 94885 and 94901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94885 and 94901. First we will calculate the prime factors of 94885 and 94901.
Prime Factorization of 94885
Prime factors of 94885 are 5, 7, 2711. Prime factorization of 94885 in exponential form is:
94885 = 51 × 71 × 27111
Prime Factorization of 94901
Prime factors of 94901 are 43, 2207. Prime factorization of 94901 in exponential form is:
94901 = 431 × 22071
Now multiplying the highest exponent prime factors to calculate the LCM of 94885 and 94901.
LCM(94885,94901) = 51 × 71 × 27111 × 431 × 22071
LCM(94885,94901) = 9004681385
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