What is the Least Common Multiple of 94711 and 94731?
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 94731 is 8972067741.
LCM(94711,94731) = 8972067741
Least Common Multiple of 94711 and 94731 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 94731, than apply into the LCM equation.
GCF(94711,94731) = 1
LCM(94711,94731) = ( 94711 × 94731) / 1
LCM(94711,94731) = 8972067741 / 1
LCM(94711,94731) = 8972067741
Least Common Multiple (LCM) of 94711 and 94731 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94711 and 94731. First we will calculate the prime factors of 94711 and 94731.
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 94731
Prime factors of 94731 are 3, 7, 13, 347. Prime factorization of 94731 in exponential form is:
94731 = 31 × 71 × 131 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 94711 and 94731.
LCM(94711,94731) = 531 × 17871 × 31 × 71 × 131 × 3471
LCM(94711,94731) = 8972067741
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