What is the Least Common Multiple of 85165 and 85178?
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 85165 and 85178 is 7254184370.
LCM(85165,85178) = 7254184370
Least Common Multiple of 85165 and 85178 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85165 and 85178, than apply into the LCM equation.
GCF(85165,85178) = 1
LCM(85165,85178) = ( 85165 × 85178) / 1
LCM(85165,85178) = 7254184370 / 1
LCM(85165,85178) = 7254184370
Least Common Multiple (LCM) of 85165 and 85178 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 85165 and 85178. First we will calculate the prime factors of 85165 and 85178.
Prime Factorization of 85165
Prime factors of 85165 are 5, 17033. Prime factorization of 85165 in exponential form is:
85165 = 51 × 170331
Prime Factorization of 85178
Prime factors of 85178 are 2, 42589. Prime factorization of 85178 in exponential form is:
85178 = 21 × 425891
Now multiplying the highest exponent prime factors to calculate the LCM of 85165 and 85178.
LCM(85165,85178) = 51 × 170331 × 21 × 425891
LCM(85165,85178) = 7254184370
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