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What is the Least Common Multiple of 60617 and 60623?

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 60617 and 60623 is 3674784391.

LCM(60617,60623) = 3674784391

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Least Common Multiple of 60617 and 60623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60617 and 60623, than apply into the LCM equation.

GCF(60617,60623) = 1
LCM(60617,60623) = ( 60617 × 60623) / 1
LCM(60617,60623) = 3674784391 / 1
LCM(60617,60623) = 3674784391

Least Common Multiple (LCM) of 60617 and 60623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60617 and 60623. First we will calculate the prime factors of 60617 and 60623.

Prime Factorization of 60617

Prime factors of 60617 are 60617. Prime factorization of 60617 in exponential form is:

60617 = 606171

Prime Factorization of 60623

Prime factors of 60623 are 60623. Prime factorization of 60623 in exponential form is:

60623 = 606231

Now multiplying the highest exponent prime factors to calculate the LCM of 60617 and 60623.

LCM(60617,60623) = 606171 × 606231
LCM(60617,60623) = 3674784391