What is the Least Common Multiple of 94716 and 94733?
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 94716 and 94733 is 8972730828.
LCM(94716,94733) = 8972730828
Least Common Multiple of 94716 and 94733 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94716 and 94733, than apply into the LCM equation.
GCF(94716,94733) = 1
LCM(94716,94733) = ( 94716 × 94733) / 1
LCM(94716,94733) = 8972730828 / 1
LCM(94716,94733) = 8972730828
Least Common Multiple (LCM) of 94716 and 94733 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94716 and 94733. First we will calculate the prime factors of 94716 and 94733.
Prime Factorization of 94716
Prime factors of 94716 are 2, 3, 877. Prime factorization of 94716 in exponential form is:
94716 = 22 × 33 × 8771
Prime Factorization of 94733
Prime factors of 94733 are 61, 1553. Prime factorization of 94733 in exponential form is:
94733 = 611 × 15531
Now multiplying the highest exponent prime factors to calculate the LCM of 94716 and 94733.
LCM(94716,94733) = 22 × 33 × 8771 × 611 × 15531
LCM(94716,94733) = 8972730828
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