What is the Least Common Multiple of 94727 and 94746?
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 94727 and 94746 is 8975004342.
LCM(94727,94746) = 8975004342
Least Common Multiple of 94727 and 94746 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94727 and 94746, than apply into the LCM equation.
GCF(94727,94746) = 1
LCM(94727,94746) = ( 94727 × 94746) / 1
LCM(94727,94746) = 8975004342 / 1
LCM(94727,94746) = 8975004342
Least Common Multiple (LCM) of 94727 and 94746 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94727 and 94746. First we will calculate the prime factors of 94727 and 94746.
Prime Factorization of 94727
Prime factors of 94727 are 94727. Prime factorization of 94727 in exponential form is:
94727 = 947271
Prime Factorization of 94746
Prime factors of 94746 are 2, 3, 15791. Prime factorization of 94746 in exponential form is:
94746 = 21 × 31 × 157911
Now multiplying the highest exponent prime factors to calculate the LCM of 94727 and 94746.
LCM(94727,94746) = 947271 × 21 × 31 × 157911
LCM(94727,94746) = 8975004342
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