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What is the Least Common Multiple of 60017 and 60037?

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 60017 and 60037 is 3603240629.

LCM(60017,60037) = 3603240629

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Least Common Multiple of 60017 and 60037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60017 and 60037, than apply into the LCM equation.

GCF(60017,60037) = 1
LCM(60017,60037) = ( 60017 × 60037) / 1
LCM(60017,60037) = 3603240629 / 1
LCM(60017,60037) = 3603240629

Least Common Multiple (LCM) of 60017 and 60037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60017 and 60037. First we will calculate the prime factors of 60017 and 60037.

Prime Factorization of 60017

Prime factors of 60017 are 60017. Prime factorization of 60017 in exponential form is:

60017 = 600171

Prime Factorization of 60037

Prime factors of 60037 are 60037. Prime factorization of 60037 in exponential form is:

60037 = 600371

Now multiplying the highest exponent prime factors to calculate the LCM of 60017 and 60037.

LCM(60017,60037) = 600171 × 600371
LCM(60017,60037) = 3603240629