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What is the Least Common Multiple of 64305 and 64318?

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 64305 and 64318 is 4135968990.

LCM(64305,64318) = 4135968990

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Least Common Multiple of 64305 and 64318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64305 and 64318, than apply into the LCM equation.

GCF(64305,64318) = 1
LCM(64305,64318) = ( 64305 × 64318) / 1
LCM(64305,64318) = 4135968990 / 1
LCM(64305,64318) = 4135968990

Least Common Multiple (LCM) of 64305 and 64318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64305 and 64318. First we will calculate the prime factors of 64305 and 64318.

Prime Factorization of 64305

Prime factors of 64305 are 3, 5, 1429. Prime factorization of 64305 in exponential form is:

64305 = 32 × 51 × 14291

Prime Factorization of 64318

Prime factors of 64318 are 2, 32159. Prime factorization of 64318 in exponential form is:

64318 = 21 × 321591

Now multiplying the highest exponent prime factors to calculate the LCM of 64305 and 64318.

LCM(64305,64318) = 32 × 51 × 14291 × 21 × 321591
LCM(64305,64318) = 4135968990