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What is the Least Common Multiple of 60365 and 60373?

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 60365 and 60373 is 3644416145.

LCM(60365,60373) = 3644416145

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Least Common Multiple of 60365 and 60373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60365 and 60373, than apply into the LCM equation.

GCF(60365,60373) = 1
LCM(60365,60373) = ( 60365 × 60373) / 1
LCM(60365,60373) = 3644416145 / 1
LCM(60365,60373) = 3644416145

Least Common Multiple (LCM) of 60365 and 60373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60365 and 60373. First we will calculate the prime factors of 60365 and 60373.

Prime Factorization of 60365

Prime factors of 60365 are 5, 12073. Prime factorization of 60365 in exponential form is:

60365 = 51 × 120731

Prime Factorization of 60373

Prime factors of 60373 are 60373. Prime factorization of 60373 in exponential form is:

60373 = 603731

Now multiplying the highest exponent prime factors to calculate the LCM of 60365 and 60373.

LCM(60365,60373) = 51 × 120731 × 603731
LCM(60365,60373) = 3644416145