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What is the Least Common Multiple of 92704 and 92720?

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 92704 and 92720 is 537219680.

LCM(92704,92720) = 537219680

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Least Common Multiple of 92704 and 92720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92704 and 92720, than apply into the LCM equation.

GCF(92704,92720) = 16
LCM(92704,92720) = ( 92704 × 92720) / 16
LCM(92704,92720) = 8595514880 / 16
LCM(92704,92720) = 537219680

Least Common Multiple (LCM) of 92704 and 92720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92704 and 92720. First we will calculate the prime factors of 92704 and 92720.

Prime Factorization of 92704

Prime factors of 92704 are 2, 2897. Prime factorization of 92704 in exponential form is:

92704 = 25 × 28971

Prime Factorization of 92720

Prime factors of 92720 are 2, 5, 19, 61. Prime factorization of 92720 in exponential form is:

92720 = 24 × 51 × 191 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 92704 and 92720.

LCM(92704,92720) = 25 × 28971 × 51 × 191 × 611
LCM(92704,92720) = 537219680