What is the Least Common Multiple of 85018 and 85037?
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 85018 and 85037 is 7229675666.
LCM(85018,85037) = 7229675666
Least Common Multiple of 85018 and 85037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85018 and 85037, than apply into the LCM equation.
GCF(85018,85037) = 1
LCM(85018,85037) = ( 85018 × 85037) / 1
LCM(85018,85037) = 7229675666 / 1
LCM(85018,85037) = 7229675666
Least Common Multiple (LCM) of 85018 and 85037 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 85018 and 85037. First we will calculate the prime factors of 85018 and 85037.
Prime Factorization of 85018
Prime factors of 85018 are 2, 42509. Prime factorization of 85018 in exponential form is:
85018 = 21 × 425091
Prime Factorization of 85037
Prime factors of 85037 are 85037. Prime factorization of 85037 in exponential form is:
85037 = 850371
Now multiplying the highest exponent prime factors to calculate the LCM of 85018 and 85037.
LCM(85018,85037) = 21 × 425091 × 850371
LCM(85018,85037) = 7229675666
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