What is the Least Common Multiple of 85227 and 85237?
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 85227 and 85237 is 7264493799.
LCM(85227,85237) = 7264493799
Least Common Multiple of 85227 and 85237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85227 and 85237, than apply into the LCM equation.
GCF(85227,85237) = 1
LCM(85227,85237) = ( 85227 × 85237) / 1
LCM(85227,85237) = 7264493799 / 1
LCM(85227,85237) = 7264493799
Least Common Multiple (LCM) of 85227 and 85237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 85227 and 85237. First we will calculate the prime factors of 85227 and 85237.
Prime Factorization of 85227
Prime factors of 85227 are 3, 28409. Prime factorization of 85227 in exponential form is:
85227 = 31 × 284091
Prime Factorization of 85237
Prime factors of 85237 are 85237. Prime factorization of 85237 in exponential form is:
85237 = 852371
Now multiplying the highest exponent prime factors to calculate the LCM of 85227 and 85237.
LCM(85227,85237) = 31 × 284091 × 852371
LCM(85227,85237) = 7264493799
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