What is the Least Common Multiple of 94771 and 94785?
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 94771 and 94785 is 8982869235.
LCM(94771,94785) = 8982869235
Least Common Multiple of 94771 and 94785 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94771 and 94785, than apply into the LCM equation.
GCF(94771,94785) = 1
LCM(94771,94785) = ( 94771 × 94785) / 1
LCM(94771,94785) = 8982869235 / 1
LCM(94771,94785) = 8982869235
Least Common Multiple (LCM) of 94771 and 94785 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94771 and 94785. First we will calculate the prime factors of 94771 and 94785.
Prime Factorization of 94771
Prime factors of 94771 are 94771. Prime factorization of 94771 in exponential form is:
94771 = 947711
Prime Factorization of 94785
Prime factors of 94785 are 3, 5, 71, 89. Prime factorization of 94785 in exponential form is:
94785 = 31 × 51 × 711 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 94771 and 94785.
LCM(94771,94785) = 947711 × 31 × 51 × 711 × 891
LCM(94771,94785) = 8982869235
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