What is the Least Common Multiple of 94716 and 94726?
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 94726 is 4486033908.
LCM(94716,94726) = 4486033908
Least Common Multiple of 94716 and 94726 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 94726, than apply into the LCM equation.
GCF(94716,94726) = 2
LCM(94716,94726) = ( 94716 × 94726) / 2
LCM(94716,94726) = 8972067816 / 2
LCM(94716,94726) = 4486033908
Least Common Multiple (LCM) of 94716 and 94726 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94716 and 94726. First we will calculate the prime factors of 94716 and 94726.
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 94726
Prime factors of 94726 are 2, 47363. Prime factorization of 94726 in exponential form is:
94726 = 21 × 473631
Now multiplying the highest exponent prime factors to calculate the LCM of 94716 and 94726.
LCM(94716,94726) = 22 × 33 × 8771 × 473631
LCM(94716,94726) = 4486033908
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