What is the Least Common Multiple of 94711 and 94724?
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 94711 and 94724 is 8971404764.
LCM(94711,94724) = 8971404764
Least Common Multiple of 94711 and 94724 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94711 and 94724, than apply into the LCM equation.
GCF(94711,94724) = 1
LCM(94711,94724) = ( 94711 × 94724) / 1
LCM(94711,94724) = 8971404764 / 1
LCM(94711,94724) = 8971404764
Least Common Multiple (LCM) of 94711 and 94724 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94711 and 94724. First we will calculate the prime factors of 94711 and 94724.
Prime Factorization of 94711
Prime factors of 94711 are 53, 1787. Prime factorization of 94711 in exponential form is:
94711 = 531 × 17871
Prime Factorization of 94724
Prime factors of 94724 are 2, 7, 17, 199. Prime factorization of 94724 in exponential form is:
94724 = 22 × 71 × 171 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 94711 and 94724.
LCM(94711,94724) = 531 × 17871 × 22 × 71 × 171 × 1991
LCM(94711,94724) = 8971404764
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