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What is the Least Common Multiple of 92592 and 92608?

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 92592 and 92608 is 535922496.

LCM(92592,92608) = 535922496

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Least Common Multiple of 92592 and 92608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92592 and 92608, than apply into the LCM equation.

GCF(92592,92608) = 16
LCM(92592,92608) = ( 92592 × 92608) / 16
LCM(92592,92608) = 8574759936 / 16
LCM(92592,92608) = 535922496

Least Common Multiple (LCM) of 92592 and 92608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92592 and 92608. First we will calculate the prime factors of 92592 and 92608.

Prime Factorization of 92592

Prime factors of 92592 are 2, 3, 643. Prime factorization of 92592 in exponential form is:

92592 = 24 × 32 × 6431

Prime Factorization of 92608

Prime factors of 92608 are 2, 1447. Prime factorization of 92608 in exponential form is:

92608 = 26 × 14471

Now multiplying the highest exponent prime factors to calculate the LCM of 92592 and 92608.

LCM(92592,92608) = 26 × 32 × 6431 × 14471
LCM(92592,92608) = 535922496