What is the Least Common Multiple of 91004 and 91015?
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 91004 and 91015 is 8282729060.
LCM(91004,91015) = 8282729060
Least Common Multiple of 91004 and 91015 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91004 and 91015, than apply into the LCM equation.
GCF(91004,91015) = 1
LCM(91004,91015) = ( 91004 × 91015) / 1
LCM(91004,91015) = 8282729060 / 1
LCM(91004,91015) = 8282729060
Least Common Multiple (LCM) of 91004 and 91015 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91004 and 91015. First we will calculate the prime factors of 91004 and 91015.
Prime Factorization of 91004
Prime factors of 91004 are 2, 22751. Prime factorization of 91004 in exponential form is:
91004 = 22 × 227511
Prime Factorization of 91015
Prime factors of 91015 are 5, 109, 167. Prime factorization of 91015 in exponential form is:
91015 = 51 × 1091 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 91004 and 91015.
LCM(91004,91015) = 22 × 227511 × 51 × 1091 × 1671
LCM(91004,91015) = 8282729060
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