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What is the Least Common Multiple of 64083 and 64097?

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 64083 and 64097 is 4107528051.

LCM(64083,64097) = 4107528051

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Least Common Multiple of 64083 and 64097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64083 and 64097, than apply into the LCM equation.

GCF(64083,64097) = 1
LCM(64083,64097) = ( 64083 × 64097) / 1
LCM(64083,64097) = 4107528051 / 1
LCM(64083,64097) = 4107528051

Least Common Multiple (LCM) of 64083 and 64097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64083 and 64097. First we will calculate the prime factors of 64083 and 64097.

Prime Factorization of 64083

Prime factors of 64083 are 3, 41, 521. Prime factorization of 64083 in exponential form is:

64083 = 31 × 411 × 5211

Prime Factorization of 64097

Prime factors of 64097 are 11, 5827. Prime factorization of 64097 in exponential form is:

64097 = 111 × 58271

Now multiplying the highest exponent prime factors to calculate the LCM of 64083 and 64097.

LCM(64083,64097) = 31 × 411 × 5211 × 111 × 58271
LCM(64083,64097) = 4107528051