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What is the Least Common Multiple of 66479 and 66496?

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 66479 and 66496 is 4420587584.

LCM(66479,66496) = 4420587584

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Least Common Multiple of 66479 and 66496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66479 and 66496, than apply into the LCM equation.

GCF(66479,66496) = 1
LCM(66479,66496) = ( 66479 × 66496) / 1
LCM(66479,66496) = 4420587584 / 1
LCM(66479,66496) = 4420587584

Least Common Multiple (LCM) of 66479 and 66496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66479 and 66496. First we will calculate the prime factors of 66479 and 66496.

Prime Factorization of 66479

Prime factors of 66479 are 7, 9497. Prime factorization of 66479 in exponential form is:

66479 = 71 × 94971

Prime Factorization of 66496

Prime factors of 66496 are 2, 1039. Prime factorization of 66496 in exponential form is:

66496 = 26 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 66479 and 66496.

LCM(66479,66496) = 71 × 94971 × 26 × 10391
LCM(66479,66496) = 4420587584