What is the Least Common Multiple of 90675 and 90679?
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 90675 and 90679 is 8222318325.
LCM(90675,90679) = 8222318325
Least Common Multiple of 90675 and 90679 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90675 and 90679, than apply into the LCM equation.
GCF(90675,90679) = 1
LCM(90675,90679) = ( 90675 × 90679) / 1
LCM(90675,90679) = 8222318325 / 1
LCM(90675,90679) = 8222318325
Least Common Multiple (LCM) of 90675 and 90679 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90675 and 90679. First we will calculate the prime factors of 90675 and 90679.
Prime Factorization of 90675
Prime factors of 90675 are 3, 5, 13, 31. Prime factorization of 90675 in exponential form is:
90675 = 32 × 52 × 131 × 311
Prime Factorization of 90679
Prime factors of 90679 are 90679. Prime factorization of 90679 in exponential form is:
90679 = 906791
Now multiplying the highest exponent prime factors to calculate the LCM of 90675 and 90679.
LCM(90675,90679) = 32 × 52 × 131 × 311 × 906791
LCM(90675,90679) = 8222318325
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