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What is the Least Common Multiple of 65459 and 65472?

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 65459 and 65472 is 4285731648.

LCM(65459,65472) = 4285731648

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Least Common Multiple of 65459 and 65472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65459 and 65472, than apply into the LCM equation.

GCF(65459,65472) = 1
LCM(65459,65472) = ( 65459 × 65472) / 1
LCM(65459,65472) = 4285731648 / 1
LCM(65459,65472) = 4285731648

Least Common Multiple (LCM) of 65459 and 65472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65459 and 65472. First we will calculate the prime factors of 65459 and 65472.

Prime Factorization of 65459

Prime factors of 65459 are 67, 977. Prime factorization of 65459 in exponential form is:

65459 = 671 × 9771

Prime Factorization of 65472

Prime factors of 65472 are 2, 3, 11, 31. Prime factorization of 65472 in exponential form is:

65472 = 26 × 31 × 111 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 65459 and 65472.

LCM(65459,65472) = 671 × 9771 × 26 × 31 × 111 × 311
LCM(65459,65472) = 4285731648