What is the Least Common Multiple of 85327 and 85341?
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 85327 and 85341 is 7281891507.
LCM(85327,85341) = 7281891507
Least Common Multiple of 85327 and 85341 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85327 and 85341, than apply into the LCM equation.
GCF(85327,85341) = 1
LCM(85327,85341) = ( 85327 × 85341) / 1
LCM(85327,85341) = 7281891507 / 1
LCM(85327,85341) = 7281891507
Least Common Multiple (LCM) of 85327 and 85341 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 85327 and 85341. First we will calculate the prime factors of 85327 and 85341.
Prime Factorization of 85327
Prime factors of 85327 are 11, 7757. Prime factorization of 85327 in exponential form is:
85327 = 111 × 77571
Prime Factorization of 85341
Prime factors of 85341 are 3, 28447. Prime factorization of 85341 in exponential form is:
85341 = 31 × 284471
Now multiplying the highest exponent prime factors to calculate the LCM of 85327 and 85341.
LCM(85327,85341) = 111 × 77571 × 31 × 284471
LCM(85327,85341) = 7281891507
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