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What is the Least Common Multiple of 64815 and 64832?

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 64815 and 64832 is 4202086080.

LCM(64815,64832) = 4202086080

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Least Common Multiple of 64815 and 64832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64815 and 64832, than apply into the LCM equation.

GCF(64815,64832) = 1
LCM(64815,64832) = ( 64815 × 64832) / 1
LCM(64815,64832) = 4202086080 / 1
LCM(64815,64832) = 4202086080

Least Common Multiple (LCM) of 64815 and 64832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64815 and 64832. First we will calculate the prime factors of 64815 and 64832.

Prime Factorization of 64815

Prime factors of 64815 are 3, 5, 29, 149. Prime factorization of 64815 in exponential form is:

64815 = 31 × 51 × 291 × 1491

Prime Factorization of 64832

Prime factors of 64832 are 2, 1013. Prime factorization of 64832 in exponential form is:

64832 = 26 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 64815 and 64832.

LCM(64815,64832) = 31 × 51 × 291 × 1491 × 26 × 10131
LCM(64815,64832) = 4202086080