What is the Least Common Multiple of 74679 and 74695?
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 74679 and 74695 is 5578147905.
LCM(74679,74695) = 5578147905
Least Common Multiple of 74679 and 74695 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74679 and 74695, than apply into the LCM equation.
GCF(74679,74695) = 1
LCM(74679,74695) = ( 74679 × 74695) / 1
LCM(74679,74695) = 5578147905 / 1
LCM(74679,74695) = 5578147905
Least Common Multiple (LCM) of 74679 and 74695 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 74679 and 74695. First we will calculate the prime factors of 74679 and 74695.
Prime Factorization of 74679
Prime factors of 74679 are 3, 11, 31, 73. Prime factorization of 74679 in exponential form is:
74679 = 31 × 111 × 311 × 731
Prime Factorization of 74695
Prime factors of 74695 are 5, 14939. Prime factorization of 74695 in exponential form is:
74695 = 51 × 149391
Now multiplying the highest exponent prime factors to calculate the LCM of 74679 and 74695.
LCM(74679,74695) = 31 × 111 × 311 × 731 × 51 × 149391
LCM(74679,74695) = 5578147905
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