What is the Least Common Multiple of 94705 and 94711?
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 94705 and 94711 is 8969605255.
LCM(94705,94711) = 8969605255
Least Common Multiple of 94705 and 94711 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94705 and 94711, than apply into the LCM equation.
GCF(94705,94711) = 1
LCM(94705,94711) = ( 94705 × 94711) / 1
LCM(94705,94711) = 8969605255 / 1
LCM(94705,94711) = 8969605255
Least Common Multiple (LCM) of 94705 and 94711 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94705 and 94711. First we will calculate the prime factors of 94705 and 94711.
Prime Factorization of 94705
Prime factors of 94705 are 5, 13, 31, 47. Prime factorization of 94705 in exponential form is:
94705 = 51 × 131 × 311 × 471
Prime Factorization of 94711
Prime factors of 94711 are 53, 1787. Prime factorization of 94711 in exponential form is:
94711 = 531 × 17871
Now multiplying the highest exponent prime factors to calculate the LCM of 94705 and 94711.
LCM(94705,94711) = 51 × 131 × 311 × 471 × 531 × 17871
LCM(94705,94711) = 8969605255
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