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What is the Least Common Multiple of 60592 and 60607?

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 60592 and 60607 is 3672299344.

LCM(60592,60607) = 3672299344

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Least Common Multiple of 60592 and 60607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60592 and 60607, than apply into the LCM equation.

GCF(60592,60607) = 1
LCM(60592,60607) = ( 60592 × 60607) / 1
LCM(60592,60607) = 3672299344 / 1
LCM(60592,60607) = 3672299344

Least Common Multiple (LCM) of 60592 and 60607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60592 and 60607. First we will calculate the prime factors of 60592 and 60607.

Prime Factorization of 60592

Prime factors of 60592 are 2, 7, 541. Prime factorization of 60592 in exponential form is:

60592 = 24 × 71 × 5411

Prime Factorization of 60607

Prime factors of 60607 are 60607. Prime factorization of 60607 in exponential form is:

60607 = 606071

Now multiplying the highest exponent prime factors to calculate the LCM of 60592 and 60607.

LCM(60592,60607) = 24 × 71 × 5411 × 606071
LCM(60592,60607) = 3672299344