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What is the Least Common Multiple of 65448 and 65457?

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 65448 and 65457 is 476003304.

LCM(65448,65457) = 476003304

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Least Common Multiple of 65448 and 65457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65448 and 65457, than apply into the LCM equation.

GCF(65448,65457) = 9
LCM(65448,65457) = ( 65448 × 65457) / 9
LCM(65448,65457) = 4284029736 / 9
LCM(65448,65457) = 476003304

Least Common Multiple (LCM) of 65448 and 65457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65448 and 65457. First we will calculate the prime factors of 65448 and 65457.

Prime Factorization of 65448

Prime factors of 65448 are 2, 3, 101. Prime factorization of 65448 in exponential form is:

65448 = 23 × 34 × 1011

Prime Factorization of 65457

Prime factors of 65457 are 3, 7, 1039. Prime factorization of 65457 in exponential form is:

65457 = 32 × 71 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 65448 and 65457.

LCM(65448,65457) = 23 × 34 × 1011 × 71 × 10391
LCM(65448,65457) = 476003304