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What is the Least Common Multiple of 65451 and 65465?

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 65451 and 65465 is 4284749715.

LCM(65451,65465) = 4284749715

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Least Common Multiple of 65451 and 65465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65451 and 65465, than apply into the LCM equation.

GCF(65451,65465) = 1
LCM(65451,65465) = ( 65451 × 65465) / 1
LCM(65451,65465) = 4284749715 / 1
LCM(65451,65465) = 4284749715

Least Common Multiple (LCM) of 65451 and 65465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65451 and 65465. First we will calculate the prime factors of 65451 and 65465.

Prime Factorization of 65451

Prime factors of 65451 are 3, 21817. Prime factorization of 65451 in exponential form is:

65451 = 31 × 218171

Prime Factorization of 65465

Prime factors of 65465 are 5, 13093. Prime factorization of 65465 in exponential form is:

65465 = 51 × 130931

Now multiplying the highest exponent prime factors to calculate the LCM of 65451 and 65465.

LCM(65451,65465) = 31 × 218171 × 51 × 130931
LCM(65451,65465) = 4284749715