What is the Least Common Multiple of 94697 and 94717?
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 94697 and 94717 is 8969415749.
LCM(94697,94717) = 8969415749
Least Common Multiple of 94697 and 94717 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94697 and 94717, than apply into the LCM equation.
GCF(94697,94717) = 1
LCM(94697,94717) = ( 94697 × 94717) / 1
LCM(94697,94717) = 8969415749 / 1
LCM(94697,94717) = 8969415749
Least Common Multiple (LCM) of 94697 and 94717 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94697 and 94717. First we will calculate the prime factors of 94697 and 94717.
Prime Factorization of 94697
Prime factors of 94697 are 281, 337. Prime factorization of 94697 in exponential form is:
94697 = 2811 × 3371
Prime Factorization of 94717
Prime factors of 94717 are 7, 1933. Prime factorization of 94717 in exponential form is:
94717 = 72 × 19331
Now multiplying the highest exponent prime factors to calculate the LCM of 94697 and 94717.
LCM(94697,94717) = 2811 × 3371 × 72 × 19331
LCM(94697,94717) = 8969415749
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