What is the Least Common Multiple of 85207 and 85227?
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 85207 and 85227 is 7261936989.
LCM(85207,85227) = 7261936989
Least Common Multiple of 85207 and 85227 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85207 and 85227, than apply into the LCM equation.
GCF(85207,85227) = 1
LCM(85207,85227) = ( 85207 × 85227) / 1
LCM(85207,85227) = 7261936989 / 1
LCM(85207,85227) = 7261936989
Least Common Multiple (LCM) of 85207 and 85227 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 85207 and 85227. First we will calculate the prime factors of 85207 and 85227.
Prime Factorization of 85207
Prime factors of 85207 are 139, 613. Prime factorization of 85207 in exponential form is:
85207 = 1391 × 6131
Prime Factorization of 85227
Prime factors of 85227 are 3, 28409. Prime factorization of 85227 in exponential form is:
85227 = 31 × 284091
Now multiplying the highest exponent prime factors to calculate the LCM of 85207 and 85227.
LCM(85207,85227) = 1391 × 6131 × 31 × 284091
LCM(85207,85227) = 7261936989
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