What is the Least Common Multiple of 94917 and 94935?
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 94917 and 94935 is 3003648465.
LCM(94917,94935) = 3003648465
Least Common Multiple of 94917 and 94935 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94917 and 94935, than apply into the LCM equation.
GCF(94917,94935) = 3
LCM(94917,94935) = ( 94917 × 94935) / 3
LCM(94917,94935) = 9010945395 / 3
LCM(94917,94935) = 3003648465
Least Common Multiple (LCM) of 94917 and 94935 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94917 and 94935. First we will calculate the prime factors of 94917 and 94935.
Prime Factorization of 94917
Prime factors of 94917 are 3, 29, 1091. Prime factorization of 94917 in exponential form is:
94917 = 31 × 291 × 10911
Prime Factorization of 94935
Prime factors of 94935 are 3, 5, 6329. Prime factorization of 94935 in exponential form is:
94935 = 31 × 51 × 63291
Now multiplying the highest exponent prime factors to calculate the LCM of 94917 and 94935.
LCM(94917,94935) = 31 × 291 × 10911 × 51 × 63291
LCM(94917,94935) = 3003648465
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